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31001111113 = 721947596997
BaseRepresentation
bin11100110111110011…
…110110101001001001
32222000112001121122111
4130313303312221021
51001442241023423
622124113222321
72145144045100
oct346763665111
988015047574
1031001111113
1112169356695
1260122619a1
132c00900c3b
1417013a5037
15c1697960d
hex737cf6a49

31001111113 has 24 divisors (see below), whose sum is σ = 37973947200. Its totient is φ = 25164947808.

The previous prime is 31001111111. The next prime is 31001111137. The reversal of 31001111113 is 31111110013.

It is not a de Polignac number, because 31001111113 - 21 = 31001111111 is a prime.

It is a super-2 number, since 2×310011111132 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 31001111093 and 31001111102.

It is not an unprimeable number, because it can be changed into a prime (31001111111) 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, 4427131 + ... + 4434127.

It is an arithmetic number, because the mean of its divisors is an integer number (1582247800).

Almost surely, 231001111113 is an apocalyptic number.

It is an amenable number.

31001111113 is a deficient number, since it is larger than the sum of its proper divisors (6972836087).

31001111113 is a wasteful number, since it uses less digits than its factorization.

31001111113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11789 (or 11782 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 13.

Adding to 31001111113 its reverse (31111110013), we get a palindrome (62112221126).

The spelling of 31001111113 in words is "thirty-one billion, one million, one hundred eleven thousand, one hundred thirteen".

Divisors: 1 7 19 49 133 931 4759 6997 33313 48979 90421 132943 233191 342853 632947 930601 4430629 6514207 33298723 233091061 632675737 1631637427 4428730159 31001111113