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13100031131 = 112819422459
BaseRepresentation
bin11000011001101001…
…01001110010011011
31020210222000112101012
430030310221302123
5203312101444011
610003523044135
7642426266405
oct141464516233
936728015335
1013100031131
115612698310
12265721064b
13130a026715
148c3b67b75
1551a110a8b
hex30cd29c9b

13100031131 has 8 divisors (see below), whose sum is σ = 14296046400. Its totient is φ = 11904866440.

The previous prime is 13100031121. The next prime is 13100031143. The reversal of 13100031131 is 13113000131.

It is a happy number.

13100031131 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 13100031131 - 210 = 13100030107 is a prime.

It is a super-2 number, since 2×131000311312 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13100031121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 180221 + ... + 242238.

It is an arithmetic number, because the mean of its divisors is an integer number (1787005800).

Almost surely, 213100031131 is an apocalyptic number.

13100031131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13100031131 is a deficient number, since it is larger than the sum of its proper divisors (1196015269).

13100031131 is a wasteful number, since it uses less digits than its factorization.

13100031131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 425289.

The product of its (nonzero) digits is 27, while the sum is 14.

Adding to 13100031131 its reverse (13113000131), we get a palindrome (26213031262).

The spelling of 13100031131 in words is "thirteen billion, one hundred million, thirty-one thousand, one hundred thirty-one".

Divisors: 1 11 2819 31009 422459 4647049 1190911921 13100031131