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12205074505431 = 3171918387149393
BaseRepresentation
bin1011000110011011011100…
…1000010101111011010111
31121012210102121221101002110
42301212313020111323113
53044431443033133211
641542533412242103
72366534060364003
oct261466710257327
947183377841073
1012205074505431
113986163411045
121451512910333
136a6c1a125aa2
14302a2b9d7703
15162736b16ea6
hexb19b7215ed7

12205074505431 has 32 divisors (see below), whose sum is σ = 17323087638528. Its totient is φ = 7617031976960.

The previous prime is 12205074505399. The next prime is 12205074505457. The reversal of 12205074505431 is 13450547050221.

It is a cyclic number.

It is not a de Polignac number, because 12205074505431 - 25 = 12205074505399 is a prime.

It is a super-2 number, since 2×122050745054312 (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 12205074505431.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12205074505031) 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, 81623071 + ... + 81772463.

It is an arithmetic number, because the mean of its divisors is an integer number (541346488704).

Almost surely, 212205074505431 is an apocalyptic number.

12205074505431 is a deficient number, since it is larger than the sum of its proper divisors (5118013133097).

12205074505431 is a wasteful number, since it uses less digits than its factorization.

12205074505431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157991.

The product of its (nonzero) digits is 168000, while the sum is 39.

The spelling of 12205074505431 in words is "twelve trillion, two hundred five billion, seventy-four million, five hundred five thousand, four hundred thirty-one".

Divisors: 1 3 17 51 191 573 3247 8387 9741 25161 142579 149393 427737 448179 1601917 2539681 4805751 7619043 27232589 28534063 81697767 85602189 485079071 1252959091 1455237213 3758877273 21300304547 63900913641 239315186381 717945559143 4068358168477 12205074505431