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112317210990 = 23251319719811
BaseRepresentation
bin110100010011010100…
…0001010000101101110
3101201220120122111021100
41220212220022011232
53320011201222430
6123333043343530
711054216353425
oct1504650120556
9351816574240
10112317210990
11436a7157016
1219926981ba6
13a78c5b9b7a
145616c522bc
152dc5768960
hex1a26a0a16e

112317210990 has 96 divisors (see below), whose sum is σ = 294587010432. Its totient is φ = 29688984000.

The previous prime is 112317210949. The next prime is 112317210997. The reversal of 112317210990 is 99012713211.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112317210997) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11443185 + ... + 11452995.

It is an arithmetic number, because the mean of its divisors is an integer number (3068614692).

Almost surely, 2112317210990 is an apocalyptic number.

112317210990 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 112317210990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147293505216).

112317210990 is an abundant number, since it is smaller than the sum of its proper divisors (182269799442).

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

112317210990 is a wasteful number, since it uses less digits than its factorization.

112317210990 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10926 (or 10923 counting only the distinct ones).

The product of its (nonzero) digits is 6804, while the sum is 36.

The spelling of 112317210990 in words is "one hundred twelve billion, three hundred seventeen million, two hundred ten thousand, nine hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 131 262 393 655 786 971 1179 1310 1942 1965 2358 2913 3930 4855 5826 5895 8739 9710 9811 11790 14565 17478 19622 29130 29433 43695 49055 58866 87390 88299 98110 127201 147165 176598 254402 294330 381603 441495 636005 763206 882990 1144809 1272010 1285241 1908015 2289618 2570482 3816030 3855723 5724045 6426205 7711446 9526481 11448090 11567169 12852410 19052962 19278615 23134338 28579443 38557230 47632405 57158886 57835845 85738329 95264810 115671690 142897215 171476658 285794430 428691645 857383290 1247969011 2495938022 3743907033 6239845055 7487814066 11231721099 12479690110 18719535165 22463442198 37439070330 56158605495 112317210990