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13220101131 = 3411992711993
BaseRepresentation
bin11000100111111101…
…01011110000001011
31021010022221201110020
430103332223300023
5204033321214011
610023452351523
7645415001616
oct142376536013
937108851406
1013220101131
115674447716
12268b4755a3
131328b76463
148d5aa117d
1552592c006
hex313fabc0b

13220101131 has 32 divisors (see below), whose sum is σ = 18223564800. Its totient is φ = 8519385600.

The previous prime is 13220101127. The next prime is 13220101171. The reversal of 13220101131 is 13110102231.

It is a happy number.

It is not a de Polignac number, because 13220101131 - 22 = 13220101127 is a prime.

It is a super-2 number, since 2×132201011312 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 13220101131.

It is not an unprimeable number, because it can be changed into a prime (13220101121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6632271 + ... + 6634263.

It is an arithmetic number, because the mean of its divisors is an integer number (569486400).

Almost surely, 213220101131 is an apocalyptic number.

13220101131 is a deficient number, since it is larger than the sum of its proper divisors (5003463669).

13220101131 is a wasteful number, since it uses less digits than its factorization.

13220101131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2507.

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 13220101131 its reverse (13110102231), we get a palindrome (26330203362).

The spelling of 13220101131 in words is "thirteen billion, two hundred twenty million, one hundred one thousand, one hundred thirty-one".

Divisors: 1 3 41 123 199 271 597 813 1993 5979 8159 11111 24477 33333 53929 81713 161787 245139 396607 540103 1189821 1620309 2211089 6633267 16260887 22144223 48782661 66432669 107480497 322441491 4406700377 13220101131