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103100220013 = 7731282915727
BaseRepresentation
bin110000000000101000…
…0001000001001101101
3100212010020020211121011
41200001100020021231
53142122124020023
6115210311305221
710306630260550
oct1400120101155
9325106224534
10103100220013
113a7a74282aa
1217b9407b211
139950bb395b
144dc0ab4697
152a364c850d
hex180140826d

103100220013 has 16 divisors (see below), whose sum is σ = 119459822080. Its totient is φ = 87148711296.

The previous prime is 103100219993. The next prime is 103100220031. The reversal of 103100220013 is 310022001301.

It is a cyclic number.

It is not a de Polignac number, because 103100220013 - 29 = 103100219501 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 103100219975 and 103100220002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103100220053) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6547756 + ... + 6563482.

It is an arithmetic number, because the mean of its divisors is an integer number (7466238880).

Almost surely, 2103100220013 is an apocalyptic number.

It is an amenable number.

103100220013 is a deficient number, since it is larger than the sum of its proper divisors (16359602067).

103100220013 is a wasteful number, since it uses less digits than its factorization.

103100220013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28636.

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

Adding to 103100220013 its reverse (310022001301), we get a palindrome (413122221314).

The spelling of 103100220013 in words is "one hundred three billion, one hundred million, two hundred twenty thousand, thirteen".

Divisors: 1 7 73 511 12829 15727 89803 110089 936517 1148071 6555619 8036497 201761683 1412331781 14728602859 103100220013