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132312131133132 = 223191363274256797
BaseRepresentation
bin11110000101011001010001…
…100100110101111011001100
3122100110220201220122120200010
4132011121101210311323030
5114320300221032230012
61145223204240233220
736604143645106236
oct3605312144657314
9570426656576603
10132312131133132
1139182294722175
1212a0ab8900b810
1358a9c99004132
142495d26d85256
151046b1ec59c3c
hex785651935ecc

132312131133132 has 48 divisors (see below), whose sum is σ = 324979624336640. Its totient is φ = 41782461947712.

The previous prime is 132312131133109. The next prime is 132312131133157. The reversal of 132312131133132 is 231331131213231.

It is a super-2 number, since 2×1323121311331322 (a number of 29 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 132312131133132.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28954158 + ... + 33210954.

Almost surely, 2132312131133132 is an apocalyptic number.

132312131133132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

132312131133132 is an abundant number, since it is smaller than the sum of its proper divisors (192667493203508).

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

132312131133132 is a wasteful number, since it uses less digits than its factorization.

132312131133132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4393150 (or 4393148 counting only the distinct ones).

The product of its digits is 5832, while the sum is 30.

Adding to 132312131133132 its reverse (231331131213231), we get a palindrome (363643262346363).

The spelling of 132312131133132 in words is "one hundred thirty-two trillion, three hundred twelve billion, one hundred thirty-one million, one hundred thirty-three thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 19 38 57 76 114 228 136327 272654 408981 545308 817962 1635924 2590213 4256797 5180426 7770639 8513594 10360852 12770391 15541278 17027188 25540782 31082556 51081564 80879143 161758286 242637429 323516572 485274858 970549716 580316364619 1160632729238 1740949093857 2321265458476 3481898187714 6963796375428 11026010927761 22052021855522 33078032783283 44104043711044 66156065566566 132312131133132