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132313212132 = 2231071273112609
BaseRepresentation
bin111101100111001111…
…0110110010011100100
3110122112010122121010020
41323032132312103210
54131434140242012
6140441151155140
712362562514023
oct1731636662344
9418463577106
10132313212132
11511283a46a2
1221787515ab0
13c6281c45ca
1465927b68ba
153695e94a8c
hex1ece7b64e4

132313212132 has 96 divisors (see below), whose sum is σ = 315200471040. Its totient is φ = 43192235520.

The previous prime is 132313212121. The next prime is 132313212133. The reversal of 132313212132 is 231212313231.

It is a super-2 number, since 2×1323132121322 (a number of 23 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (132313212133) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 50712844 + ... + 50715452.

It is an arithmetic number, because the mean of its divisors is an integer number (3283338240).

Almost surely, 2132313212132 is an apocalyptic number.

132313212132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

132313212132 is an abundant number, since it is smaller than the sum of its proper divisors (182887258908).

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

132313212132 is a wasteful number, since it uses less digits than its factorization.

132313212132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3161 (or 3159 counting only the distinct ones).

The product of its digits is 1296, while the sum is 24.

Adding to 132313212132 its reverse (231212313231), we get a palindrome (363525525363).

The spelling of 132313212132 in words is "one hundred thirty-two billion, three hundred thirteen million, two hundred twelve thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 107 127 214 254 311 321 381 428 508 622 642 762 933 1244 1284 1524 1866 2609 3732 5218 7827 10436 13589 15654 27178 31308 33277 39497 40767 54356 66554 78994 81534 99831 118491 133108 157988 163068 199662 236982 279163 331343 399324 473964 558326 662686 811399 837489 994029 1116652 1325372 1622798 1674978 1988058 2434197 3245596 3349956 3976116 4226179 4868394 8452358 9736788 12678537 16904716 25357074 35453701 50714148 70907402 86819693 103047673 106361103 141814804 173639386 206095346 212722206 260459079 309143019 347278772 412190692 425444412 520918158 618286038 1041836316 1236572076 11026101011 22052202022 33078303033 44104404044 66156606066 132313212132