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132086357612100 = 2232524710729183261
BaseRepresentation
bin11110000010000111000000…
…011011001101011001000100
3122022200022222100221100222200
4132002013000123031121010
5114303100330022041400
61144531345054154500
736551632034616423
oct3602070033153104
9568608870840880
10132086357612100
11390a556742a171
1212993279ab2a30
1358918c8139cc8
142489029cc52ba
151040d08c6bb00
hex7821c06cd644

132086357612100 has 216 divisors, whose sum is σ = 426777891216768. Its totient is φ = 34151418182400.

The previous prime is 132086357612059. The next prime is 132086357612119. The reversal of 132086357612100 is 1216753680231.

It is a happy number.

132086357612100 is a `hidden beast` number, since 1 + 3 + 2 + 0 + 8 + 63 + 576 + 1 + 2 + 10 + 0 = 666.

It is a super-2 number, since 2×1320863576121002 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 10065531 + ... + 19117730.

It is an arithmetic number, because the mean of its divisors is an integer number (1975823570448).

Almost surely, 2132086357612100 is an apocalyptic number.

132086357612100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132086357612100 is an abundant number, since it is smaller than the sum of its proper divisors (294691533604668).

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

132086357612100 is a wasteful number, since it uses less digits than its factorization.

132086357612100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29183435 (or 29183425 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 132086357612100 in words is "one hundred thirty-two trillion, eighty-six billion, three hundred fifty-seven million, six hundred twelve thousand, one hundred".