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104260000013 = 1321061358129
BaseRepresentation
bin110000100011001100…
…0010101100100001101
3100222010001120202122222
41201012120111210031
53202011030000023
6115521341345125
710350442243421
oct1410630254415
9328101522588
10104260000013
1140242063174
12182585681a5
139aa7265400
145090b34b81
152aa321bcc8
hex184661590d

104260000013 has 12 divisors (see below), whose sum is σ = 112909503060. Its totient is φ = 96229276416.

The previous prime is 104260000003. The next prime is 104260000021. The reversal of 104260000013 is 310000062401.

It can be written as a sum of positive squares in 6 ways, for example, as 7953429124 + 96306570889 = 89182^2 + 310333^2 .

It is not a de Polignac number, because 104260000013 - 24 = 104259999997 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 104259999946 and 104260000000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104260000003) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1764533 + ... + 1822661.

It is an arithmetic number, because the mean of its divisors is an integer number (9409125255).

Almost surely, 2104260000013 is an apocalyptic number.

104260000013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

104260000013 is a deficient number, since it is larger than the sum of its proper divisors (8649503047).

104260000013 is a wasteful number, since it uses less digits than its factorization.

104260000013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68768 (or 68755 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 104260000013 its reverse (310000062401), we get a palindrome (414260062414).

The spelling of 104260000013 in words is "one hundred four billion, two hundred sixty million, thirteen", and thus it is an aban number.

Divisors: 1 13 169 10613 58129 137969 755677 1793597 9823801 616923077 8020000001 104260000013