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13001312310 = 2357157939209
BaseRepresentation
bin11000001101111000…
…00100100000110110
31020120002021002121120
430012330010200312
5203111313443220
65550035124410
7640120221420
oct140674044066
936502232546
1013001312310
1155719a1408
12262a143706
1312c274110c
148b49cb810
15511610a40
hex306f04836

13001312310 has 64 divisors (see below), whose sum is σ = 35684236800. Its totient is φ = 2969770752.

The previous prime is 13001312249. The next prime is 13001312333. The reversal of 13001312310 is 1321310031.

It is a super-2 number, since 2×130013123102 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 13001312310.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 311986 + ... + 351194.

It is an arithmetic number, because the mean of its divisors is an integer number (557566200).

Almost surely, 213001312310 is an apocalyptic number.

13001312310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13001312310 is an abundant number, since it is smaller than the sum of its proper divisors (22682924490).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13001312310 is a wasteful number, since it uses less digits than its factorization.

13001312310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40805.

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 13001312310 its reverse (1321310031), we get a palindrome (14322622341).

The spelling of 13001312310 in words is "thirteen billion, one million, three hundred twelve thousand, three hundred ten".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 210 1579 3158 4737 7895 9474 11053 15790 22106 23685 33159 39209 47370 55265 66318 78418 110530 117627 165795 196045 235254 274463 331590 392090 548926 588135 823389 1176270 1372315 1646778 2744630 4116945 8233890 61911011 123822022 185733033 309555055 371466066 433377077 619110110 866754154 928665165 1300131231 1857330330 2166885385 2600262462 4333770770 6500656155 13001312310