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113124132024 = 23343121790071
BaseRepresentation
bin110100101011010111…
…0010100010010111000
3101210222211000022211120
41221112232110102320
53323134234211044
6123545110425240
711113215154041
oct1512656242270
9353884008746
10113124132024
1143a80694802
1219b11062220
13a88a824037
14569209d8c8
152e2150b519
hex1a56b944b8

113124132024 has 64 divisors (see below), whose sum is σ = 289628317440. Its totient is φ = 36800440320.

The previous prime is 113124132013. The next prime is 113124132049. The reversal of 113124132024 is 420231421311.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 113124131985 and 113124132003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1210909 + ... + 1300979.

It is an arithmetic number, because the mean of its divisors is an integer number (4525442460).

Almost surely, 2113124132024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113124132024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144814158720).

113124132024 is an abundant number, since it is smaller than the sum of its proper divisors (176504185416).

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

113124132024 is a wasteful number, since it uses less digits than its factorization.

113124132024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91340 (or 91336 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 113124132024 its reverse (420231421311), we get a palindrome (533355553335).

The spelling of 113124132024 in words is "one hundred thirteen billion, one hundred twenty-four million, one hundred thirty-two thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 24 43 86 129 172 258 344 516 1032 1217 2434 3651 4868 7302 9736 14604 29208 52331 90071 104662 156993 180142 209324 270213 313986 360284 418648 540426 627972 720568 1080852 1255944 2161704 3873053 7746106 11619159 15492212 23238318 30984424 46476636 92953272 109616407 219232814 328849221 438465628 657698442 876931256 1315396884 2630793768 4713505501 9427011002 14140516503 18854022004 28281033006 37708044008 56562066012 113124132024