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11310465131 = 7429162439
BaseRepresentation
bin10101000100010100…
…00000000001101011
31002012020122011022222
422202022000001223
5141130434341011
65110154304255
7550166240000
oct124212000153
932166564288
1011310465131
11488450a949
122237a2808b
1310b334a924
147942098a7
15462e68ddb
hex2a228006b

11310465131 has 20 divisors (see below), whose sum is σ = 13649833200. Its totient is φ = 9360327312.

The previous prime is 11310465097. The next prime is 11310465149. The reversal of 11310465131 is 13156401311.

It is a happy number.

It is not a de Polignac number, because 11310465131 - 218 = 11310202987 is a prime.

It is a super-2 number, since 2×113104651312 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 11310465131.

It is not an unprimeable number, because it can be changed into a prime (11310465161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 11591 + ... + 150848.

It is an arithmetic number, because the mean of its divisors is an integer number (682491660).

Almost surely, 211310465131 is an apocalyptic number.

11310465131 is a deficient number, since it is larger than the sum of its proper divisors (2339368069).

11310465131 is an frugal number, since it uses more digits than its factorization.

11310465131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162496 (or 162475 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 26.

Adding to 11310465131 its reverse (13156401311), we get a palindrome (24466866442).

The spelling of 11310465131 in words is "eleven billion, three hundred ten million, four hundred sixty-five thousand, one hundred thirty-one".

Divisors: 1 7 29 49 203 343 1421 2401 9947 69629 162439 1137073 4710731 7959511 32975117 55716577 230825819 390016039 1615780733 11310465131