Search a number
-
+
31210002131 = 72111812331373
BaseRepresentation
bin11101000100010000…
…101101011011010011
32222120002010101020212
4131010100231123103
51002404230032011
622200534354335
72153261432600
oct350420553323
988502111225
1031210002131
11122662615a0
1260701bb9ab
132c34c7c0a9
14172101d6a7
15c29e8d08b
hex74442d6d3

31210002131 has 48 divisors (see below), whose sum is σ = 40024883808. Its totient is φ = 24063782400.

The previous prime is 31210002097. The next prime is 31210002149. The reversal of 31210002131 is 13120001213.

It is not a de Polignac number, because 31210002131 - 26 = 31210002067 is a prime.

It is a super-2 number, since 2×312100021312 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (31210002331) 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 47 ways as a sum of consecutive naturals, for example, 22730561 + ... + 22731933.

It is an arithmetic number, because the mean of its divisors is an integer number (833851746).

Almost surely, 231210002131 is an apocalyptic number.

31210002131 is a deficient number, since it is larger than the sum of its proper divisors (8814881677).

31210002131 is a wasteful number, since it uses less digits than its factorization.

31210002131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1812 (or 1805 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 31210002131 its reverse (13120001213), we get a palindrome (44330003344).

The spelling of 31210002131 in words is "thirty-one billion, two hundred ten million, two thousand, one hundred thirty-one".

Divisors: 1 7 11 49 77 181 233 539 1267 1373 1631 1991 2563 8869 9611 11417 13937 15103 17941 42173 67277 97559 105721 125587 248513 295211 319909 463903 740047 1739591 2066477 2239363 2733643 3247321 3518999 12177137 15675541 19135501 22731247 24632993 57903529 133948507 172430951 405324703 636938819 2837272921 4458571733 31210002131