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11131202313 = 3271116062341
BaseRepresentation
bin10100101110111100…
…01010101100001001
31001201202022122222100
422113132022230021
5140244041433223
65040312144013
7542561441610
oct122736125411
931652278870
1011131202313
1147a2301060
1221a7998009
13108517445a
147784a4877
15452359043
hex29778ab09

11131202313 has 24 divisors (see below), whose sum is σ = 20045802816. Its totient is φ = 5782442400.

The previous prime is 11131202227. The next prime is 11131202339. The reversal of 11131202313 is 31320213111.

11131202313 is nontrivially palindromic in base 14.

11131202313 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 11131202313 - 28 = 11131202057 is a prime.

It is not an unprimeable number, because it can be changed into a prime (11131202393) 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 23 ways as a sum of consecutive naturals, for example, 8030478 + ... + 8031863.

It is an arithmetic number, because the mean of its divisors is an integer number (835241784).

Almost surely, 211131202313 is an apocalyptic number.

It is an amenable number.

11131202313 is a deficient number, since it is larger than the sum of its proper divisors (8914600503).

11131202313 is a wasteful number, since it uses less digits than its factorization.

11131202313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16062365 (or 16062362 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 11131202313 its reverse (31320213111), we get a palindrome (42451415424).

It can be divided in two parts, 11131 and 202313, that added together give a square (213444 = 4622).

The spelling of 11131202313 in words is "eleven billion, one hundred thirty-one million, two hundred two thousand, three hundred thirteen".

Divisors: 1 3 7 9 11 21 33 63 77 99 231 693 16062341 48187023 112436387 144561069 176685751 337309161 530057253 1011927483 1236800257 1590171759 3710400771 11131202313