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102132032213241 = 32145172937107227
BaseRepresentation
bin10111001110001101110111…
…100000000001000011111001
3111101121201121221001202100200
4113032031313200001003321
5101341312400221310431
61001114450300152413
730340536653013522
oct2716156740010371
9441551557052320
10102132032213241
112a5a6a51675a68
12b555a56b38709
1344cb0175c7684
141b31306a0d849
15bc1a4dc37ee6
hex5ce3778010f9

102132032213241 has 24 divisors (see below), whose sum is σ = 147629117928864. Its totient is φ = 68039529163200.

The previous prime is 102132032213191. The next prime is 102132032213287. The reversal of 102132032213241 is 142312230231201.

102132032213241 is a `hidden beast` number, since 1 + 0 + 2 + 1 + 3 + 203 + 2 + 213 + 241 = 666.

It is a de Polignac number, because none of the positive numbers 2k-102132032213241 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (102132032213041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 952430670 + ... + 952537896.

It is an arithmetic number, because the mean of its divisors is an integer number (6151213247036).

Almost surely, 2102132032213241 is an apocalyptic number.

It is an amenable number.

102132032213241 is a deficient number, since it is larger than the sum of its proper divisors (45497085715623).

102132032213241 is a wasteful number, since it uses less digits than its factorization.

102132032213241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181621 (or 181618 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 102132032213241 its reverse (142312230231201), we get a palindrome (244444262444442).

The spelling of 102132032213241 in words is "one hundred two trillion, one hundred thirty-two billion, thirty-two million, two hundred thirteen thousand, two hundred forty-one".

Divisors: 1 3 9 1451 4353 13059 72937 107227 218811 321681 656433 965043 105831587 155586377 317494761 466759131 952484283 1400277393 7820815699 23462447097 70387341291 11348003579249 34044010737747 102132032213241