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132323142206052 = 2232710112899403049
BaseRepresentation
bin11110000101100011100001…
…111000110000001001100100
3122100111222011021221001002200
4132011203201320300021210
5114320440243401043202
61145232225021534500
736605013550510530
oct3605434170601144
9570458137831080
10132323142206052
1139186a25133236
1212a11140714430
1358ab0323077b5
14249668d4d8bc0
151047066784e1c
hex7858e1e30264

132323142206052 has 144 divisors (see below), whose sum is σ = 386082562320000. Its totient is φ = 37429294348800.

The previous prime is 132323142206051. The next prime is 132323142206081. The reversal of 132323142206052 is 250602241323231.

132323142206052 is a `hidden beast` number, since 1 + 3 + 2 + 3 + 2 + 3 + 1 + 42 + 2 + 0 + 605 + 2 = 666.

132323142206052 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 132323142205998 and 132323142206016.

It is not an unprimeable number, because it can be changed into a prime (132323142206051) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 328103824 + ... + 328506872.

It is an arithmetic number, because the mean of its divisors is an integer number (2681128905000).

Almost surely, 2132323142206052 is an apocalyptic number.

132323142206052 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132323142206052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193041281160000).

132323142206052 is an abundant number, since it is smaller than the sum of its proper divisors (253759420113948).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

132323142206052 is a wasteful number, since it uses less digits than its factorization.

132323142206052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 416066 (or 416061 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

Adding to 132323142206052 its reverse (250602241323231), we get a palindrome (382925383529283).

The spelling of 132323142206052 in words is "one hundred thirty-two trillion, three hundred twenty-three billion, one hundred forty-two million, two hundred six thousand, fifty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 101 126 202 252 303 404 606 707 909 1212 1414 1818 2121 2828 3636 4242 6363 8484 12726 12899 25452 25798 38697 51596 77394 90293 116091 154788 180586 232182 270879 361172 403049 464364 541758 806098 812637 1083516 1209147 1302799 1612196 1625274 2418294 2605598 2821343 3250548 3627441 3908397 4836588 5211196 5642686 7254882 7816794 8464029 9119593 11285372 11725191 14509764 15633588 16928058 18239186 23450382 25392087 27358779 33856116 36478372 40707949 46900764 50784174 54717558 81415898 82076337 101568348 109435116 122123847 162831796 164152674 244247694 284955643 328305348 366371541 488495388 569911286 732743082 854866929 1139822572 1465486164 1709733858 2564600787 3419467716 5129201574 5198929051 10258403148 10397858102 15596787153 20795716204 31193574306 36392503357 46790361459 62387148612 72785006714 93580722918 109177510071 145570013428 187161445836 218355020142 327532530213 436710040284 525091834151 655065060426 1050183668302 1310130120852 1575275502453 2100367336604 3150551004906 3675642839057 4725826507359 6301102009812 7351285678114 9451653014718 11026928517171 14702571356228 18903306029436 22053857034342 33080785551513 44107714068684 66161571103026 132323142206052