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132114134313100 = 22522945556598039
BaseRepresentation
bin11110000010100000111000…
…000010111010100010001100
3122022202222200011200222111101
4132002200320002322202030
5114304024221341004400
61144552221225232444
736553634256650122
oct3602407002724214
9568688604628441
10132114134313100
113910632067a805
1212998730332724
135894403a03864
14248a502d49912
1510418d25c556a
hex7828380ba88c

132114134313100 has 36 divisors (see below), whose sum is σ = 296573453240400. Its totient is φ = 51023389802560.

The previous prime is 132114134313089. The next prime is 132114134313157. The reversal of 132114134313100 is 1313431411231.

It is a super-2 number, since 2×1321141343131002 (a number of 29 digits) contains 22 as substring.

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, 22778296120 + ... + 22778301919.

It is an arithmetic number, because the mean of its divisors is an integer number (8238151478900).

Almost surely, 2132114134313100 is an apocalyptic number.

132114134313100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132114134313100 is an abundant number, since it is smaller than the sum of its proper divisors (164459318927300).

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

132114134313100 is a wasteful number, since it uses less digits than its factorization.

132114134313100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45556598082 (or 45556598075 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 28.

Adding to 132114134313100 its reverse (1313431411231), we get a palindrome (133427565724331).

The spelling of 132114134313100 in words is "one hundred thirty-two trillion, one hundred fourteen billion, one hundred thirty-four million, three hundred thirteen thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 29 50 58 100 116 145 290 580 725 1450 2900 45556598039 91113196078 182226392156 227782990195 455565980390 911131960780 1138914950975 1321141343131 2277829901950 2642282686262 4555659803900 5284565372524 6605706715655 13211413431310 26422826862620 33028533578275 66057067156550 132114134313100