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31130311113 = 32111918618893
BaseRepresentation
bin11100111111100000…
…101101100111001001
32222100112011122201200
4130333200231213021
51002223324423423
622145010334413
72151303164346
oct347740554711
988315148650
1031130311113
1112225281550
12604958a409
132c215c9545
1417145d77cd
15c22e9ad43
hex73f82d9c9

31130311113 has 48 divisors (see below), whose sum is σ = 51669159360. Its totient is φ = 17862249600.

The previous prime is 31130311111. The next prime is 31130311123. The reversal of 31130311113 is 31111303113.

31130311113 is a `hidden beast` number, since 311 + 30 + 311 + 1 + 13 = 666.

It is not a de Polignac number, because 31130311113 - 21 = 31130311111 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (31130311111) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3496095 + ... + 3504987.

It is an arithmetic number, because the mean of its divisors is an integer number (1076440820).

Almost surely, 231130311113 is an apocalyptic number.

31130311113 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

31130311113 is a deficient number, since it is larger than the sum of its proper divisors (20538848247).

31130311113 is a wasteful number, since it uses less digits than its factorization.

31130311113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10790 (or 10787 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 18.

Adding to 31130311113 its reverse (31111303113), we get a palindrome (62241614226).

It can be divided in two parts, 31130 and 311113, that added together give a palindrome (342243).

The spelling of 31130311113 in words is "thirty-one billion, one hundred thirty million, three hundred eleven thousand, one hundred thirteen".

Divisors: 1 3 9 11 19 33 57 99 171 209 627 1861 1881 5583 8893 16749 20471 26679 35359 61413 80037 97823 106077 168967 184239 293469 318231 388949 506901 880407 1166847 1520703 1858637 3500541 5575911 16549873 16727733 49649619 148948857 182048603 314447587 546145809 943342761 1638437427 2830028283 3458923457 10376770371 31130311113