Search a number
-
+
13311211331 = 112412719901
BaseRepresentation
bin11000110010110100…
…01111011101000011
31021100200101121011002
430121122033131003
5204230132230311
610040505242215
7650602300205
oct143132173503
937320347132
1013311211331
115710917100
1226b5a9336b
1313419c6812
14903c1a775
1552d92793b
hex31968f743

13311211331 has 24 divisors (see below), whose sum is σ = 15045019584. Its totient is φ = 11761200000.

The previous prime is 13311211313. The next prime is 13311211363.

13311211331 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 13311211331 - 214 = 13311194947 is a prime.

It is a super-2 number, since 2×133112113312 (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 (13311211031) 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, 1339481 + ... + 1349381.

It is an arithmetic number, because the mean of its divisors is an integer number (626875816).

Almost surely, 213311211331 is an apocalyptic number.

13311211331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13311211331 is a deficient number, since it is larger than the sum of its proper divisors (1733808253).

13311211331 is a wasteful number, since it uses less digits than its factorization.

13311211331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10235 (or 10224 counting only the distinct ones).

The product of its digits is 162, while the sum is 20.

The spelling of 13311211331 in words is "thirteen billion, three hundred eleven million, two hundred eleven thousand, three hundred thirty-one".

Divisors: 1 11 41 121 271 451 2981 4961 9901 11111 32791 108911 122221 405941 1198021 1344431 2683171 4465351 29514881 49118861 110010011 324663691 1210110121 13311211331