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13301520253 = 72325383449
BaseRepresentation
bin11000110001101010…
…10001011101111101
31021100000011020111021
430120311101131331
5204220142122003
610035521424141
7650424025300
oct143065213575
937300136437
1013301520253
1157063a804a
1226b279b051
13133c9b2758
14902816b37
1552cb612bd
hex318d5177d

13301520253 has 12 divisors (see below), whose sum is σ = 15478139100. Its totient is φ = 11397661632.

The previous prime is 13301520233. The next prime is 13301520257. The reversal of 13301520253 is 35202510331.

It can be written as a sum of positive squares in 2 ways, for example, as 8356336569 + 4945183684 = 91413^2 + 70322^2 .

It is not a de Polignac number, because 13301520253 - 213 = 13301512061 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 (13301520257) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 117673 + ... + 201121.

It is an arithmetic number, because the mean of its divisors is an integer number (1289844925).

Almost surely, 213301520253 is an apocalyptic number.

It is an amenable number.

13301520253 is a deficient number, since it is larger than the sum of its proper divisors (2176618847).

13301520253 is an equidigital number, since it uses as much as digits as its factorization.

13301520253 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86716 (or 86709 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 25.

The spelling of 13301520253 in words is "thirteen billion, three hundred one million, five hundred twenty thousand, two hundred fifty-three".

Divisors: 1 7 49 3253 22771 83449 159397 584143 4089001 271459597 1900217179 13301520253