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31020210013 = 136139117541
BaseRepresentation
bin11100111000111100…
…101101011101011101
32222001211222221102011
4130320330231131131
51002012133210023
622130034431221
72145465302032
oct347074553535
988054887364
1031020210013
1112179110a01
126018732511
132c0485a170
141703b37389
15c1849d50d
hex738f2d75d

31020210013 has 8 divisors (see below), whose sum is σ = 33954026456. Its totient is φ = 28164628800.

The previous prime is 31020209999. The next prime is 31020210041. The reversal of 31020210013 is 31001202013.

It can be written as a sum of positive squares in 4 ways, for example, as 4162572324 + 26857637689 = 64518^2 + 163883^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 31020210013 - 217 = 31020078941 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 31020209975 and 31020210002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31020210083) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19557978 + ... + 19559563.

It is an arithmetic number, because the mean of its divisors is an integer number (4244253307).

Almost surely, 231020210013 is an apocalyptic number.

It is an amenable number.

31020210013 is a deficient number, since it is larger than the sum of its proper divisors (2933816443).

31020210013 is a wasteful number, since it uses less digits than its factorization.

31020210013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39117615.

The product of its (nonzero) digits is 36, while the sum is 13.

Adding to 31020210013 its reverse (31001202013), we get a palindrome (62021412026).

The spelling of 31020210013 in words is "thirty-one billion, twenty million, two hundred ten thousand, thirteen".

Divisors: 1 13 61 793 39117541 508528033 2386170001 31020210013