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12117513071085 = 352340187589093
BaseRepresentation
bin1011000001010101010000…
…0011111110100111101101
31120220102102022122122011120
42300111110003332213231
53042013131321233320
641434413023011153
72360314161436212
oct260252403764755
946812368578146
1012117513071085
113952010253474
121438556739ab9
1369b8a45a3186
142dc6c2917b09
1516030e8cd440
hexb05540fe9ed

12117513071085 has 32 divisors (see below), whose sum is σ = 20281429893888. Its totient is φ = 6166272076800.

The previous prime is 12117513071033. The next prime is 12117513071119. The reversal of 12117513071085 is 58017031571121.

It is a happy number.

It is not a de Polignac number, because 12117513071085 - 233 = 12108923136493 is a prime.

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, 43656202 + ... + 43932891.

It is an arithmetic number, because the mean of its divisors is an integer number (633794684184).

Almost surely, 212117513071085 is an apocalyptic number.

12117513071085 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

12117513071085 is a deficient number, since it is larger than the sum of its proper divisors (8163916822803).

12117513071085 is a wasteful number, since it uses less digits than its factorization.

12117513071085 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87589525.

The product of its (nonzero) digits is 58800, while the sum is 42.

The spelling of 12117513071085 in words is "twelve trillion, one hundred seventeen billion, five hundred thirteen million, seventy-one thousand, eighty-five".

Divisors: 1 3 5 15 23 69 115 345 401 1203 2005 6015 9223 27669 46115 138345 87589093 262767279 437945465 1313836395 2014549139 6043647417 10072745695 30218237085 35123226293 105369678879 175616131465 526848394395 807834204739 2423502614217 4039171023695 12117513071085