Search a number
-
+
132132100233020 = 225296123316028563
BaseRepresentation
bin11110000010110001100110…
…111001011101011100111100
3122022211201001020202021102212
4132002301212321131130330
5114304323020124424040
61145004352053235552
736555141422521316
oct3602614671353474
9568751036667385
10132132100233020
11391129aa9a5308
12129a0105032bb8
135896007b60cc4
14248b3290247b6
1510420d499ad65
hex782c66e5d73c

132132100233020 has 96 divisors (see below), whose sum is σ = 293003432205120. Its totient is φ = 49978338600960.

The previous prime is 132132100233017. The next prime is 132132100233037. The reversal of 132132100233020 is 20332001231231.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 229259 + ... + 16257821.

It is an arithmetic number, because the mean of its divisors is an integer number (3052119085470).

Almost surely, 2132132100233020 is an apocalyptic number.

132132100233020 is a gapful number since it is divisible by the number (10) 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 132132100233020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146501716102560).

132132100233020 is an abundant number, since it is smaller than the sum of its proper divisors (160871331972100).

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

132132100233020 is a wasteful number, since it uses less digits than its factorization.

132132100233020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16028895 (or 16028893 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 23.

Adding to 132132100233020 its reverse (20332001231231), we get a palindrome (152464101464251).

The spelling of 132132100233020 in words is "one hundred thirty-two trillion, one hundred thirty-two billion, one hundred million, two hundred thirty-three thousand, twenty".

Divisors: 1 2 4 5 10 20 29 58 61 116 122 145 233 244 290 305 466 580 610 932 1165 1220 1769 2330 3538 4660 6757 7076 8845 13514 14213 17690 27028 28426 33785 35380 56852 67570 71065 135140 142130 284260 412177 824354 1648708 2060885 4121770 8243540 16028563 32057126 64114252 80142815 160285630 320571260 464828327 929656654 977742343 1859313308 1955484686 2324141635 3734655179 3910969372 4648283270 4888711715 7469310358 9296566540 9777423430 14938620716 18673275895 19554846860 28354527947 37346551790 56709055894 74693103580 108305000191 113418111788 141772639735 216610000382 227813965919 283545279470 433220000764 455627931838 541525000955 567090558940 911255863676 1083050001910 1139069829595 2166100003820 2278139659190 4556279318380 6606605011651 13213210023302 26426420046604 33033025058255 66066050116510 132132100233020