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11312124322014 = 233319901682511
BaseRepresentation
bin1010010010011100111100…
…1001101110000011011110
31111001102120101122002011000
42210213033021232003132
52440314212311301024
640020415043011130
72245162662144405
oct244471711560336
944042511562130
1011312124322014
11367149930084a
121328447669aa6
136409620956a9
142b171ca1863c
151493c3494cc9
hexa49cf26e0de

11312124322014 has 64 divisors (see below), whose sum is σ = 25951617884160. Its totient is φ = 3648698460000.

The previous prime is 11312124321941. The next prime is 11312124322021. The reversal of 11312124322014 is 41022342121311.

11312124322014 is a `hidden beast` number, since 1 + 1 + 3 + 1 + 21 + 2 + 432 + 201 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 31 ways as a sum of consecutive naturals, for example, 16233019 + ... + 16915529.

It is an arithmetic number, because the mean of its divisors is an integer number (405494029440).

Almost surely, 211312124322014 is an apocalyptic number.

11312124322014 is an abundant number, since it is smaller than the sum of its proper divisors (14639493562146).

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

11312124322014 is a wasteful number, since it uses less digits than its factorization.

11312124322014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 692454 (or 692448 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 11312124322014 its reverse (41022342121311), we get a palindrome (52334466443325).

The spelling of 11312124322014 in words is "eleven trillion, three hundred twelve billion, one hundred twenty-four million, three hundred twenty-two thousand, fourteen".

Divisors: 1 2 3 6 9 18 27 31 54 62 93 186 279 558 837 1674 9901 19802 29703 59406 89109 178218 267327 306931 534654 613862 682511 920793 1365022 1841586 2047533 2762379 4095066 5524758 6142599 8287137 12285198 16574274 18427797 21157841 36855594 42315682 63473523 126947046 190420569 380841138 571261707 1142523414 6757541411 13515082822 20272624233 40545248466 60817872699 121635745398 182453618097 209483783741 364907236194 418967567482 628451351223 1256902702446 1885354053669 3770708107338 5656062161007 11312124322014