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130213112223312 = 24324991812139727
BaseRepresentation
bin11101100110110110011010…
…010011001001011001010000
3122002001020210200020221011200
4131212312122103021121100
5114031402423212121222
61140535024500311200
736266405210544666
oct3546663223113120
9562036720227150
10130213112223312
1138543086223918
121273020b9a2500
1357870752a9381
1424224c389cc36
15100c21dc3aeac
hex766d9a4c9650

130213112223312 has 60 divisors (see below), whose sum is σ = 365146155192000. Its totient is φ = 43317388010304.

The previous prime is 130213112223301. The next prime is 130213112223377. The reversal of 130213112223312 is 213322211312031.

130213112223312 is a `hidden beast` number, since 1 + 3 + 0 + 2 + 13 + 112 + 223 + 312 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 905998008 + ... + 906141719.

It is an arithmetic number, because the mean of its divisors is an integer number (6085769253200).

Almost surely, 2130213112223312 is an apocalyptic number.

130213112223312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

130213112223312 is an abundant number, since it is smaller than the sum of its proper divisors (234933042968688).

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

130213112223312 is a wasteful number, since it uses less digits than its factorization.

130213112223312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1812140240 (or 1812140231 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 130213112223312 its reverse (213322211312031), we get a palindrome (343535323535343).

The spelling of 130213112223312 in words is "one hundred thirty trillion, two hundred thirteen billion, one hundred twelve million, two hundred twenty-three thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 499 998 1497 1996 2994 3992 4491 5988 7984 8982 11976 17964 23952 35928 71856 1812139727 3624279454 5436419181 7248558908 10872838362 14497117816 16309257543 21745676724 28994235632 32618515086 43491353448 65237030172 86982706896 130474060344 260948120688 904257723773 1808515447546 2712773171319 3617030895092 5425546342638 7234061790184 8138319513957 10851092685276 14468123580368 16276639027914 21702185370552 32553278055828 43404370741104 65106556111656 130213112223312