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130134772827522 = 23231523445920533
BaseRepresentation
bin11101100101101101011100…
…111010000100010110000010
3122001202202121001212021220100
4131211231130322010112002
5114024112003320440042
61140435031143223230
736260632661635041
oct3545553472042602
9561682531767810
10130134772827522
1138512935722311
1212718ba8147b16
13577c86c2092c8
14241c7b14b2558
15100a18643d24c
hex765b5ce84582

130134772827522 has 48 divisors (see below), whose sum is σ = 291610625050368. Its totient is φ = 41898693186720.

The previous prime is 130134772827497. The next prime is 130134772827529. The reversal of 130134772827522 is 225728277431031.

130134772827522 is a `hidden beast` number, since 1 + 3 + 0 + 1 + 3 + 4 + 77 + 28 + 27 + 522 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (130134772827529) 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, 222668433 + ... + 223252100.

It is an arithmetic number, because the mean of its divisors is an integer number (6075221355216).

Almost surely, 2130134772827522 is an apocalyptic number.

130134772827522 is an abundant number, since it is smaller than the sum of its proper divisors (161475852222846).

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

130134772827522 is a wasteful number, since it uses less digits than its factorization.

130134772827522 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 445921095 (or 445921092 counting only the distinct ones).

The product of its (nonzero) digits is 7902720, while the sum is 54.

The spelling of 130134772827522 in words is "one hundred thirty trillion, one hundred thirty-four billion, seven hundred seventy-two million, eight hundred twenty-seven thousand, five hundred twenty-two".

Divisors: 1 2 3 6 9 18 31 62 93 186 279 523 558 1046 1569 3138 4707 9414 16213 32426 48639 97278 145917 291834 445920533 891841066 1337761599 2675523198 4013284797 8026569594 13823536523 27647073046 41470609569 82941219138 124411828707 233216438759 248823657414 466432877518 699649316277 1399298632554 2098947948831 4197895897662 7229709601529 14459419203058 21689128804587 43378257609174 65067386413761 130134772827522