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13111004431 = 721507717747
BaseRepresentation
bin11000011010111101…
…00000110100001111
31020211201200000220201
430031132200310033
5203322404120211
610004554154331
7642621461500
oct141536406417
936751600821
1013111004431
115618902758
12265aa229a7
13130c3992b5
148c53c2ba7
1551b07c0c1
hex30d7a0d0f

13111004431 has 12 divisors (see below), whose sum is σ = 15253447608. Its totient is φ = 11236625232.

The previous prime is 13111004419. The next prime is 13111004441. The reversal of 13111004431 is 13440011131.

13111004431 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13111004431 - 27 = 13111004303 is a prime.

It is a super-2 number, since 2×131110044312 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13111004399 and 13111004408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13111004441) 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 11 ways as a sum of consecutive naturals, for example, 729900 + ... + 747646.

It is an arithmetic number, because the mean of its divisors is an integer number (1271120634).

Almost surely, 213111004431 is an apocalyptic number.

13111004431 is a deficient number, since it is larger than the sum of its proper divisors (2142443177).

13111004431 is a wasteful number, since it uses less digits than its factorization.

13111004431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32838 (or 32831 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

Adding to 13111004431 its reverse (13440011131), we get a palindrome (26551015562).

The spelling of 13111004431 in words is "thirteen billion, one hundred eleven million, four thousand, four hundred thirty-one".

Divisors: 1 7 49 15077 17747 105539 124229 738773 869603 267571519 1873000633 13111004431