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12301331310 = 2325192378619
BaseRepresentation
bin10110111010011011…
…10110101101101110
31011202022010101012100
423131031312231232
5200143120100220
65352352115530
7613560406452
oct133515665556
934668111170
1012301331310
115242865314
122473835ba6
13121070a588
14849a5a662
154bee43d90
hex2dd376b6e

12301331310 has 72 divisors (see below), whose sum is σ = 33755487480. Its totient is φ = 3107696544.

The previous prime is 12301331299. The next prime is 12301331321. The reversal of 12301331310 is 1313310321.

It is a happy number.

12301331310 is a `hidden beast` number, since 1 + 2 + 301 + 331 + 31 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (12301331299) and next prime (12301331321).

It is a super-2 number, since 2×123013313102 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 156820 + ... + 221799.

It is an arithmetic number, because the mean of its divisors is an integer number (468826215).

Almost surely, 212301331310 is an apocalyptic number.

12301331310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12301331310 is an abundant number, since it is smaller than the sum of its proper divisors (21454156170).

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

12301331310 is a wasteful number, since it uses less digits than its factorization.

12301331310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 378670 (or 378648 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 12301331310 its reverse (1313310321), we get a palindrome (13614641631).

The spelling of 12301331310 in words is "twelve billion, three hundred one million, three hundred thirty-one thousand, three hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 19 30 38 45 57 90 95 114 171 190 285 342 361 570 722 855 1083 1710 1805 2166 3249 3610 5415 6498 10830 16245 32490 378619 757238 1135857 1893095 2271714 3407571 3786190 5679285 6815142 7193761 11358570 14387522 17037855 21581283 34075710 35968805 43162566 64743849 71937610 107906415 129487698 136681459 215812830 273362918 323719245 410044377 647438490 683407295 820088754 1230133131 1366814590 2050221885 2460266262 4100443770 6150665655 12301331310