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13114441131 = 3112311116167
BaseRepresentation
bin11000011011010111…
…00111110110101011
31020211222010122011220
430031223213312223
5203324244104011
610005155553123
7642662624151
oct141553476653
936758118156
1013114441131
11561a83a800
12265bbbb7a3
13131000064c
148c5a393d1
1551b50a506
hex30dae7dab

13114441131 has 24 divisors (see below), whose sum is σ = 19282029312. Its totient is φ = 7922521200.

The previous prime is 13114441127. The next prime is 13114441133.

13114441131 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 13114441131 - 22 = 13114441127 is a prime.

It is a super-2 number, since 2×131144411312 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13114441133) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 54810 + ... + 170976.

It is an arithmetic number, because the mean of its divisors is an integer number (803417888).

Almost surely, 213114441131 is an apocalyptic number.

13114441131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13114441131 is a deficient number, since it is larger than the sum of its proper divisors (6167588181).

13114441131 is a wasteful number, since it uses less digits than its factorization.

13114441131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116503 (or 116492 counting only the distinct ones).

The product of its digits is 576, while the sum is 24.

The spelling of 13114441131 in words is "thirteen billion, one hundred fourteen million, four hundred forty-one thousand, one hundred thirty-one".

Divisors: 1 3 11 33 121 311 363 933 3421 10263 37631 112893 116167 348501 1277837 3833511 14056207 36127937 42168621 108383811 397407307 1192221921 4371480377 13114441131