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112159780980 = 223513397362203
BaseRepresentation
bin110100001110100111…
…1100111000001110100
3101201111121102012220020
41220131033213001310
53314200400442410
6123305301205140
711050265260002
oct1503517470164
9351447365806
10112159780980
11436262aa575
12198a21007b0
13a765ab9110
1455ddd91a72
152db6a1ca70
hex1a1d3e7074

112159780980 has 96 divisors (see below), whose sum is σ = 339057715584. Its totient is φ = 27538942464.

The previous prime is 112159780951. The next prime is 112159781017. The reversal of 112159780980 is 89087951211.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 128559 + ... + 490761.

It is an arithmetic number, because the mean of its divisors is an integer number (3531851204).

Almost surely, 2112159780980 is an apocalyptic number.

112159780980 is a gapful number since it is divisible by the number (10) 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 112159780980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169528857792).

112159780980 is an abundant number, since it is smaller than the sum of its proper divisors (226897934604).

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

112159780980 is a wasteful number, since it uses less digits than its factorization.

112159780980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 362625 (or 362623 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 51.

The spelling of 112159780980 in words is "one hundred twelve billion, one hundred fifty-nine million, seven hundred eighty thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 195 260 390 397 780 794 1191 1588 1985 2382 3970 4764 5161 5955 7940 10322 11910 15483 20644 23820 25805 30966 51610 61932 77415 103220 154830 309660 362203 724406 1086609 1448812 1811015 2173218 3622030 4346436 4708639 5433045 7244060 9417278 10866090 14125917 18834556 21732180 23543195 28251834 47086390 56503668 70629585 94172780 141259170 143794591 282518340 287589182 431383773 575178364 718972955 862767546 1437945910 1725535092 1869329683 2156918865 2875891820 3738659366 4313837730 5607989049 7477318732 8627675460 9346648415 11215978098 18693296830 22431956196 28039945245 37386593660 56079890490 112159780980