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132131203232 = 2572794910601
BaseRepresentation
bin111101100001110100…
…0100010100010100000
3110122001110011120211212
41323003220202202200
54131101042000412
6140411130125252
712355222460600
oct1730350424240
9418043146755
10132131203232
115104468a716
1221736580828
13c5c9599232
146576558c00
153684ee1222
hex1ec3a228a0

132131203232 has 72 divisors (see below), whose sum is σ = 302670666900. Its totient is φ = 56615193600.

The previous prime is 132131203133. The next prime is 132131203271. The reversal of 132131203232 is 232302131231.

It can be written as a sum of positive squares in 2 ways, for example, as 127588982416 + 4542220816 = 357196^2 + 67396^2 .

It is a junction number, because it is equal to n+sod(n) for n = 132131203198 and 132131203207.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12458732 + ... + 12469332.

Almost surely, 2132131203232 is an apocalyptic number.

It is an amenable number.

132131203232 is an abundant number, since it is smaller than the sum of its proper divisors (170539463668).

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

132131203232 is a wasteful number, since it uses less digits than its factorization.

132131203232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18574 (or 18559 counting only the distinct ones).

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

Adding to 132131203232 its reverse (232302131231), we get a palindrome (364433334463).

The spelling of 132131203232 in words is "one hundred thirty-two billion, one hundred thirty-one million, two hundred three thousand, two hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 98 112 196 224 392 784 1568 7949 10601 15898 21202 31796 42404 55643 63592 74207 84808 111286 127184 148414 169616 222572 254368 296828 339232 389501 445144 519449 593656 779002 890288 1038898 1187312 1558004 1780576 2077796 2374624 3116008 4155592 6232016 8311184 12464032 16622368 84267349 168534698 337069396 589871443 674138792 1179742886 1348277584 2359485772 2696555168 4129100101 4718971544 8258200202 9437943088 16516400404 18875886176 33032800808 66065601616 132131203232