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1314055131132 = 2231071751958417
BaseRepresentation
bin10011000111110011110…
…010100000111111111100
311122121210202120002111110
4103013303302200333330
5133012141103144012
62443400225522020
7163636340215152
oct23076362407774
94577722502443
101314055131132
11467318956247
1219280a4a3310
1396bb7c6a093
144785a0d33d2
15242acce873c
hex131f3ca0ffc

1314055131132 has 48 divisors (see below), whose sum is σ = 3095013680640. Its totient is φ = 433892550912.

The previous prime is 1314055131127. The next prime is 1314055131241. The reversal of 1314055131132 is 2311315504131.

It is a self number, because there is not a number n which added to its sum of digits gives 1314055131132.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22465188 + ... + 22523604.

It is an arithmetic number, because the mean of its divisors is an integer number (64479451680).

Almost surely, 21314055131132 is an apocalyptic number.

1314055131132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1314055131132 is an abundant number, since it is smaller than the sum of its proper divisors (1780958549508).

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

1314055131132 is a wasteful number, since it uses less digits than its factorization.

1314055131132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76050 (or 76048 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 30.

The spelling of 1314055131132 in words is "one trillion, three hundred fourteen billion, fifty-five million, one hundred thirty-one thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 107 214 321 428 642 1284 17519 35038 52557 58417 70076 105114 116834 175251 210228 233668 350502 701004 1874533 3749066 5623599 6250619 7498132 11247198 12501238 18751857 22494396 25002476 37503714 75007428 1023407423 2046814846 3070222269 4093629692 6140444538 12280889076 109504594261 219009188522 328513782783 438018377044 657027565566 1314055131132