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12331253727 = 3313105133427
BaseRepresentation
bin10110111101111111…
…11111111111011111
31011211101102121001000
423132333333333133
5200223300104402
65355341321343
7614402633022
oct133677777737
934741377030
1012331253727
115258742491
122481866253
131216986150
1484da091b9
154c28a4c1c
hex2deffffdf

12331253727 has 32 divisors (see below), whose sum is σ = 19693103360. Its totient is φ = 7581016800.

The previous prime is 12331253723. The next prime is 12331253743. The reversal of 12331253727 is 72735213321.

12331253727 is a `hidden beast` number, since 1 + 2 + 331 + 253 + 72 + 7 = 666.

It is not a de Polignac number, because 12331253727 - 22 = 12331253723 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12331253691 and 12331253700.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12331253723) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 352188 + ... + 385614.

It is an arithmetic number, because the mean of its divisors is an integer number (615409480).

Almost surely, 212331253727 is an apocalyptic number.

12331253727 is a deficient number, since it is larger than the sum of its proper divisors (7361849633).

12331253727 is a wasteful number, since it uses less digits than its factorization.

12331253727 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34500 (or 34494 counting only the distinct ones).

The product of its digits is 52920, while the sum is 36.

The spelling of 12331253727 in words is "twelve billion, three hundred thirty-one million, two hundred fifty-three thousand, seven hundred twenty-seven".

Divisors: 1 3 9 13 27 39 117 351 1051 3153 9459 13663 28377 33427 40989 100281 122967 300843 368901 434551 902529 1303653 3910959 11732877 35131777 105395331 316185993 456713101 948557979 1370139303 4110417909 12331253727