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31313131031 = 7132293129443
BaseRepresentation
bin11101001010011010…
…000111011000010111
32222211021011212111202
4131022122013120113
51003112130143111
622215101023115
72155653136130
oct351232073027
988737155452
1031313131031
111230949a896
12609a854a9b
132c50449b00
1417309c6c87
15c3405eb3b
hex74a687617

31313131031 has 48 divisors (see below), whose sum is σ = 41381775360. Its totient is φ = 23148478080.

The previous prime is 31313131021. The next prime is 31313131139. The reversal of 31313131031 is 13013131313.

It is not a de Polignac number, because 31313131031 - 218 = 31312868887 is a prime.

It is a super-2 number, since 2×313131310312 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 31313130994 and 31313131012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31313131021) 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, 1048796 + ... + 1078238.

It is an arithmetic number, because the mean of its divisors is an integer number (862120320).

Almost surely, 231313131031 is an apocalyptic number.

31313131031 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

31313131031 is a deficient number, since it is larger than the sum of its proper divisors (10068644329).

31313131031 is a wasteful number, since it uses less digits than its factorization.

31313131031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29536 (or 29523 counting only the distinct ones).

The product of its (nonzero) digits is 243, while the sum is 20.

Adding to 31313131031 its reverse (13013131313), we get a palindrome (44326262344).

The spelling of 31313131031 in words is "thirty-one billion, three hundred thirteen million, one hundred thirty-one thousand, thirty-one".

Divisors: 1 7 13 29 31 91 169 203 217 377 403 899 1183 2639 2821 4901 5239 6293 11687 29443 34307 36673 81809 151931 206101 382759 853847 912733 1063517 2679313 4975867 5976929 6389131 11100011 11865529 26469257 34831069 77700077 83058703 144300143 154251877 185284799 344100341 1010101001 1079763139 2408702387 4473304433 31313131031