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13120156224252 = 22327114733101091
BaseRepresentation
bin1011111011101100011001…
…0000000100101011111100
31201110021102020122011011100
42332323012100010223330
53204430034443134002
643523152213253100
72522620462556160
oct276730620045374
951407366564140
1013120156224252
1141a9255168470
12157a935934190
137422c134076c
14335039dd6ca0
1517b4431eb11c
hexbeec6404afc

13120156224252 has 72 divisors (see below), whose sum is σ = 41348371139712. Its totient is φ = 3407832784800.

The previous prime is 13120156224181. The next prime is 13120156224271. The reversal of 13120156224252 is 25242265102131.

13120156224252 is a `hidden beast` number, since 1 + 3 + 1 + 2 + 0 + 1 + 5 + 622 + 4 + 25 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 23 ways as a sum of consecutive naturals, for example, 2366547774 + ... + 2366553317.

It is an arithmetic number, because the mean of its divisors is an integer number (574282932496).

Almost surely, 213120156224252 is an apocalyptic number.

13120156224252 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13120156224252 is an abundant number, since it is smaller than the sum of its proper divisors (28228214915460).

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

13120156224252 is a wasteful number, since it uses less digits than its factorization.

13120156224252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4733101119 (or 4733101114 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 13120156224252 in words is "thirteen trillion, one hundred twenty billion, one hundred fifty-six million, two hundred twenty-four thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 28 33 36 42 44 63 66 77 84 99 126 132 154 198 231 252 308 396 462 693 924 1386 2772 4733101091 9466202182 14199303273 18932404364 28398606546 33131707637 42597909819 52064112001 56797213092 66263415274 85195819638 99395122911 104128224002 132526830548 156192336003 170391639276 198790245822 208256448004 298185368733 312384672006 364448784007 397580491644 468577008009 596370737466 624769344012 728897568014 937154016018 1093346352021 1192741474932 1457795136028 1874308032036 2186692704042 3280039056063 4373385408084 6560078112126 13120156224252