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130122211129 = 3771478910343
BaseRepresentation
bin111100100101111100…
…0110101111100111001
3110102212102220012202221
41321023320311330321
54112442241224004
6135435522324041
712254356355011
oct1711370657471
9412772805687
10130122211129
1150203661169
12212757b9621
13c3692c4001
1464257dcc41
1535b8954354
hex1e4be35f39

130122211129 has 16 divisors (see below), whose sum is σ = 135562671360. Its totient is φ = 124784089920.

The previous prime is 130122211103. The next prime is 130122211169. The reversal of 130122211129 is 921112221031.

It is a cyclic number.

It is not a de Polignac number, because 130122211129 - 213 = 130122202937 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (130122211169) 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 15 ways as a sum of consecutive naturals, for example, 12575532 + ... + 12585874.

It is an arithmetic number, because the mean of its divisors is an integer number (8472666960).

Almost surely, 2130122211129 is an apocalyptic number.

It is an amenable number.

130122211129 is a deficient number, since it is larger than the sum of its proper divisors (5440460231).

130122211129 is a wasteful number, since it uses less digits than its factorization.

130122211129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15240.

The product of its (nonzero) digits is 432, while the sum is 25.

The spelling of 130122211129 in words is "one hundred thirty billion, one hundred twenty-two million, two hundred eleven thousand, one hundred twenty-nine".

Divisors: 1 37 71 2627 4789 10343 177193 340019 382691 734353 12580703 27171061 49532627 1832707199 3516816517 130122211129