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13001121001232 = 2471311937484779
BaseRepresentation
bin1011110100110000111100…
…1100101110111100010000
31201000220011110212021212122
42331030033030232330100
53201002243434014412
643352344343313412
72511204620063510
oct275141714567420
951026143767778
1013001121001232
1141628209595a1
12155b85514b868
13734000cb0160
1432d386c6d840
151782c7cba572
hexbd30f32ef10

13001121001232 has 80 divisors (see below), whose sum is σ = 31028664455040. Its totient is φ = 5138988696576.

The previous prime is 13001121001223. The next prime is 13001121001241. The reversal of 13001121001232 is 23210012110031.

It is an interprime number because it is at equal distance from previous prime (13001121001223) and next prime (13001121001241).

It is a self number, because there is not a number n which added to its sum of digits gives 13001121001232.

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 15 ways as a sum of consecutive naturals, for example, 2005382 + ... + 5479397.

It is an arithmetic number, because the mean of its divisors is an integer number (387858305688).

Almost surely, 213001121001232 is an apocalyptic number.

It is an amenable number.

13001121001232 is an abundant number, since it is smaller than the sum of its proper divisors (18027543453808).

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

13001121001232 is a wasteful number, since it uses less digits than its factorization.

13001121001232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7486000 (or 7485994 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 13001121001232 its reverse (23210012110031), we get a palindrome (36211133111263).

The spelling of 13001121001232 in words is "thirteen trillion, one billion, one hundred twenty-one million, one thousand, two hundred thirty-two".

Divisors: 1 2 4 7 8 13 14 16 26 28 52 56 91 104 112 182 208 364 728 1193 1456 2386 4772 8351 9544 15509 16702 19088 31018 33404 62036 66808 108563 124072 133616 217126 248144 434252 868504 1737008 7484779 14969558 29939116 52393453 59878232 97302127 104786906 119756464 194604254 209573812 389208508 419147624 681114889 778417016 838295248 1362229778 1556834032 2724459556 5448919112 8929341347 10897838224 17858682694 35717365388 62505389429 71434730776 116081437511 125010778858 142869461552 232162875022 250021557716 464325750044 500043115432 812570062577 928651500088 1000086230864 1625140125154 1857303000176 3250280250308 6500560500616 13001121001232