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12157225017309 = 324144374371127
BaseRepresentation
bin1011000011101001001100…
…0101000001111111011101
31121001012220220200112011200
42300322103011001333131
53043140444101023214
641504541351510113
72363221240424121
oct260722305017735
947035826615150
1012157225017309
113967939647439
12144419a088339
136a2562a7b2c8
143005acb41581
15161385e65d09
hexb0e93141fdd

12157225017309 has 24 divisors (see below), whose sum is σ = 18029346334272. Its totient is φ = 7889289046080.

The previous prime is 12157225017293. The next prime is 12157225017389. The reversal of 12157225017309 is 90371052275121.

12157225017309 is a `hidden beast` number, since 1 + 2 + 1 + 5 + 72 + 2 + 501 + 73 + 0 + 9 = 666.

It is not a de Polignac number, because 12157225017309 - 24 = 12157225017293 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12157225017389) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 37022097 + ... + 37349030.

It is an arithmetic number, because the mean of its divisors is an integer number (751222763928).

Almost surely, 212157225017309 is an apocalyptic number.

It is an amenable number.

12157225017309 is a deficient number, since it is larger than the sum of its proper divisors (5872121316963).

12157225017309 is a wasteful number, since it uses less digits than its factorization.

12157225017309 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74371617 (or 74371614 counting only the distinct ones).

The product of its (nonzero) digits is 264600, while the sum is 45.

The spelling of 12157225017309 in words is "twelve trillion, one hundred fifty-seven billion, two hundred twenty-five million, seventeen thousand, three hundred nine".

Divisors: 1 3 9 41 123 369 443 1329 3987 18163 54489 163467 74371127 223113381 669340143 3049216207 9147648621 27442945863 32946409261 98839227783 296517683349 1350802779701 4052408339103 12157225017309