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31302130113 = 32291134212521
BaseRepresentation
bin11101001001110000…
…001001100111000001
32222210111110222002100
4131021300021213001
51003101321130423
622214025141013
72155460500362
oct351160114701
988714428070
1031302130113
1112303266721
12609702a769
132c4b0977a7
14172d361b69
15c330da343
hex749c099c1

31302130113 has 48 divisors (see below), whose sum is σ = 47318066640. Its totient is φ = 19914854400.

The previous prime is 31302130109. The next prime is 31302130147. The reversal of 31302130113 is 31103120313.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 23573610369 + 7728519744 = 153537^2 + 87912^2 .

It is not a de Polignac number, because 31302130113 - 22 = 31302130109 is a prime.

It is a super-2 number, since 2×313021301132 (a number of 22 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (31302130213) 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, 12415293 + ... + 12417813.

It is an arithmetic number, because the mean of its divisors is an integer number (985793055).

Almost surely, 231302130113 is an apocalyptic number.

It is an amenable number.

31302130113 is a deficient number, since it is larger than the sum of its proper divisors (16015936527).

31302130113 is a wasteful number, since it uses less digits than its factorization.

31302130113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3090 (or 3087 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 31302130113 its reverse (31103120313), we get a palindrome (62405250426).

The spelling of 31302130113 in words is "thirty-one billion, three hundred two million, one hundred thirty thousand, one hundred thirteen".

Divisors: 1 3 9 29 87 113 261 339 421 1017 1263 2521 3277 3789 7563 9831 12209 22689 29493 36627 47573 73109 109881 142719 219327 284873 428157 657981 854619 1061341 1379617 2563857 3184023 4138851 8261317 9552069 12416553 24783951 30778889 74351853 92336667 119931533 277010001 359794599 1079383797 3478014457 10434043371 31302130113