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11314031131 = 1317235094373
BaseRepresentation
bin10101000100101111…
…00110101000011011
31002012111100022222001
422202113212220123
5141132342444011
65110402541431
7550241451334
oct124227465033
932174308861
1011314031131
114886526057
122239067877
1310b3cc8aa0
1479489728b
154634207c1
hex2a25e6a1b

11314031131 has 32 divisors (see below), whose sum is σ = 13491515520. Its totient is φ = 9381402624.

The previous prime is 11314031117. The next prime is 11314031161. The reversal of 11314031131 is 13113041311.

It is a happy number.

11314031131 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 11314031131 - 29 = 11314030619 is a prime.

It is a super-2 number, since 2×113140311312 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11314031099 and 11314031108.

It is not an unprimeable number, because it can be changed into a prime (11314031111) 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 31 ways as a sum of consecutive naturals, for example, 2585061 + ... + 2589433.

It is an arithmetic number, because the mean of its divisors is an integer number (421609860).

Almost surely, 211314031131 is an apocalyptic number.

11314031131 is a deficient number, since it is larger than the sum of its proper divisors (2177484389).

11314031131 is a wasteful number, since it uses less digits than its factorization.

11314031131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4935.

The product of its (nonzero) digits is 108, while the sum is 19.

Adding to 11314031131 its reverse (13113041311), we get a palindrome (24427072442).

The spelling of 11314031131 in words is "eleven billion, three hundred fourteen million, thirty-one thousand, one hundred thirty-one".

Divisors: 1 13 17 23 221 299 391 509 4373 5083 6617 8653 11707 56849 74341 100579 112489 152191 199019 966433 1307527 1709843 2225857 2587247 22227959 28936141 37839569 51194711 491914397 665531243 870310087 11314031131