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12241522524 = 22371122758363
BaseRepresentation
bin10110110011010011…
…01100111101011100
31011121010120202222010
423121221230331130
5200032312210044
65342414151220
7612233140020
oct133151547534
934533522863
1012241522524
115212025070
1224577b2510
1312011c966a
14841b2c380
154b9a7cbb9
hex2d9a6cf5c

12241522524 has 96 divisors (see below), whose sum is σ = 35769194496. Its totient is φ = 3165554880.

The previous prime is 12241522471. The next prime is 12241522583. The reversal of 12241522524 is 42522514221.

It is a junction number, because it is equal to n+sod(n) for n = 12241522491 and 12241522500.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 180567 + ... + 238929.

It is an arithmetic number, because the mean of its divisors is an integer number (372595776).

Almost surely, 212241522524 is an apocalyptic number.

12241522524 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12241522524, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17884597248).

12241522524 is an abundant number, since it is smaller than the sum of its proper divisors (23527671972).

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

12241522524 is a wasteful number, since it uses less digits than its factorization.

12241522524 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58615 (or 58613 counting only the distinct ones).

The product of its digits is 12800, while the sum is 30.

The spelling of 12241522524 in words is "twelve billion, two hundred forty-one million, five hundred twenty-two thousand, five hundred twenty-four".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 66 77 84 132 154 227 231 308 454 462 681 908 924 1362 1589 2497 2724 3178 4767 4994 6356 7491 9534 9988 14982 17479 19068 29964 34958 52437 58363 69916 104874 116726 175089 209748 233452 350178 408541 641993 700356 817082 1225623 1283986 1634164 1925979 2451246 2567972 3851958 4493951 4902492 7703916 8987902 13248401 13481853 17975804 26496802 26963706 39745203 52993604 53927412 79490406 92738807 145732411 158980812 185477614 278216421 291464822 370955228 437197233 556432842 582929644 874394466 1020126877 1112865684 1748788932 2040253754 3060380631 4080507508 6120761262 12241522524