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10223031013 = 138911378193
BaseRepresentation
bin10011000010101011…
…10001001011100101
3222101110102210011021
421201111301023211
5131414043443023
64410231011141
7511223221066
oct114125611345
928343383137
1010223031013
1143766a8568
121b93809ab1
13c6bc796a0
146cda1c56d
153ec76635d
hex2615712e5

10223031013 has 16 divisors (see below), whose sum is σ = 11231786160. Its totient is φ = 9247924224.

The previous prime is 10223031011. The next prime is 10223031031. The reversal of 10223031013 is 31013032201.

It can be written as a sum of positive squares in 8 ways, for example, as 7531289089 + 2691741924 = 86783^2 + 51882^2 .

It is a cyclic number.

It is not a de Polignac number, because 10223031013 - 21 = 10223031011 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10223031011) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 91645 + ... + 169837.

It is an arithmetic number, because the mean of its divisors is an integer number (701986635).

Almost surely, 210223031013 is an apocalyptic number.

10223031013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

10223031013 is a deficient number, since it is larger than the sum of its proper divisors (1008755147).

10223031013 is a wasteful number, since it uses less digits than its factorization.

10223031013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78408.

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 10223031013 its reverse (31013032201), we get a palindrome (41236063214).

The spelling of 10223031013 in words is "ten billion, two hundred twenty-three million, thirty-one thousand, thirteen".

Divisors: 1 13 89 113 1157 1469 10057 78193 130741 1016509 6959177 8835809 90469301 114865517 786387001 10223031013