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122130001331 = 13241317122971
BaseRepresentation
bin111000110111110000…
…0111110110110110011
3102200020110010220000122
41301233200332312303
54000110240020311
6132034501440455
711552331611552
oct1615740766663
9380213126018
10122130001331
11478822246a8
121b80511012b
13b69457a9a0
145ca81a1d99
15329be970db
hex1c6f83edb3

122130001331 has 16 divisors (see below), whose sum is σ = 132488065248. Its totient is φ = 111912537600.

The previous prime is 122130001319. The next prime is 122130001337. The reversal of 122130001331 is 133100031221.

It is a cyclic number.

It is not a de Polignac number, because 122130001331 - 218 = 122129739187 is a prime.

It is a super-2 number, since 2×1221300013312 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (122130001337) 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, 931676 + ... + 1054646.

It is an arithmetic number, because the mean of its divisors is an integer number (8280504078).

Almost surely, 2122130001331 is an apocalyptic number.

122130001331 is a deficient number, since it is larger than the sum of its proper divisors (10358063917).

122130001331 is a wasteful number, since it uses less digits than its factorization.

122130001331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123542.

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 122130001331 its reverse (133100031221), we get a palindrome (255230032552).

The spelling of 122130001331 in words is "one hundred twenty-two billion, one hundred thirty million, one thousand, three hundred thirty-one".

Divisors: 1 13 241 317 3133 4121 76397 122971 993161 1598623 29636011 38981807 385268143 506763491 9394615487 122130001331