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13120114201002 = 23210123930195751
BaseRepresentation
bin1011111011101100001110…
…1111110001000110101010
31201110021022022120011002200
42332323003233301012222
53204424443213413002
643523144112441030
72522616442433334
oct276730357610652
951407268504080
1013120114201002
1141a9233475806
12157a923849176
137422b5719033
143350345b8454
1517b43e699b1c
hexbeec3bf11aa

13120114201002 has 48 divisors (see below), whose sum is σ = 28828488349440. Its totient is φ = 4311953100000.

The previous prime is 13120114200967. The next prime is 13120114201039. The reversal of 13120114201002 is 20010241102131.

13120114201002 is a `hidden beast` number, since 1 + 31 + 201 + 1 + 420 + 10 + 0 + 2 = 666.

It is a super-3 number, since 3×131201142010023 (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14663374 + ... + 15532377.

It is an arithmetic number, because the mean of its divisors is an integer number (600593507280).

Almost surely, 213120114201002 is an apocalyptic number.

13120114201002 is an abundant number, since it is smaller than the sum of its proper divisors (15708374148438).

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

13120114201002 is a wasteful number, since it uses less digits than its factorization.

13120114201002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30196099 (or 30196096 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 13120114201002 its reverse (20010241102131), we get a palindrome (33130355303133).

The spelling of 13120114201002 in words is "thirteen trillion, one hundred twenty billion, one hundred fourteen million, two hundred one thousand, two".

Divisors: 1 2 3 6 9 18 101 202 239 303 478 606 717 909 1434 1818 2151 4302 24139 48278 72417 144834 217251 434502 30195751 60391502 90587253 181174506 271761759 543523518 3049770851 6099541702 7216784489 9149312553 14433568978 18298625106 21650353467 27447937659 43300706934 54895875318 64951060401 129902120802 728895233389 1457790466778 2186685700167 4373371400334 6560057100501 13120114201002