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132104414331315 = 3353131566168299
BaseRepresentation
bin11110000010010111110100…
…101100001000000110110011
3122022202001120202211202011000
4132002113310230020012303
5114303344320032100230
61144543532524253043
736553141352322606
oct3602276454100663
9568661522752130
10132104414331315
1139102192a31608
12129968790a1183
13589351503914a
142489c6007833d
1510415140cab60
hex7825f4b081b3

132104414331315 has 32 divisors (see below), whose sum is σ = 242428172544000. Its totient is φ = 68182923523680.

The previous prime is 132104414331311. The next prime is 132104414331347. The reversal of 132104414331315 is 513133414401231.

132104414331315 is a `hidden beast` number, since 1 + 3 + 2 + 1 + 0 + 4 + 4 + 1 + 4 + 331 + 315 = 666.

It is not a de Polignac number, because 132104414331315 - 22 = 132104414331311 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 132104414331315.

It is not an unprimeable number, because it can be changed into a prime (132104414331311) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15783079965 + ... + 15783088334.

It is an arithmetic number, because the mean of its divisors is an integer number (7575880392000).

Almost surely, 2132104414331315 is an apocalyptic number.

132104414331315 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

132104414331315 is a deficient number, since it is larger than the sum of its proper divisors (110323758212685).

132104414331315 is a wasteful number, since it uses less digits than its factorization.

132104414331315 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31566168344 (or 31566168338 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

Adding to 132104414331315 its reverse (513133414401231), we get a palindrome (645237828732546).

The spelling of 132104414331315 in words is "one hundred thirty-two trillion, one hundred four billion, four hundred fourteen million, three hundred thirty-one thousand, three hundred fifteen".

Divisors: 1 3 5 9 15 27 31 45 93 135 155 279 465 837 1395 4185 31566168299 94698504897 157830841495 284095514691 473492524485 852286544073 978551217269 1420477573455 2935653651807 4261432720365 4892756086345 8806960955421 14678268259035 26420882866263 44034804777105 132104414331315