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112079031540 = 22357887300851
BaseRepresentation
bin110100001100001101…
…1100100110011110100
3101201021222110201111020
41220120123210303310
53314014213002130
6123253254341140
711045265022620
oct1503033446364
9351258421436
10112079031540
11435947672a3
121987b05a7b0
13a752155898
1455d3372180
152dae8bbe10
hex1a186e4cf4

112079031540 has 96 divisors (see below), whose sum is σ = 359058438144. Its totient is φ = 25589097600.

The previous prime is 112079031521. The next prime is 112079031541. The reversal of 112079031540 is 45130970211.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112079031541) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 222115 + ... + 522965.

It is an arithmetic number, because the mean of its divisors is an integer number (3740192064).

Almost surely, 2112079031540 is an apocalyptic number.

112079031540 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 112079031540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179529219072).

112079031540 is an abundant number, since it is smaller than the sum of its proper divisors (246979406604).

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

112079031540 is a wasteful number, since it uses less digits than its factorization.

112079031540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 301757 (or 301755 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 33.

The spelling of 112079031540 in words is "one hundred twelve billion, seventy-nine million, thirty-one thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 420 887 1774 2661 3548 4435 5322 6209 8870 10644 12418 13305 17740 18627 24836 26610 31045 37254 53220 62090 74508 93135 124180 186270 300851 372540 601702 902553 1203404 1504255 1805106 2105957 3008510 3610212 4211914 4512765 6017020 6317871 8423828 9025530 10529785 12635742 18051060 21059570 25271484 31589355 42119140 63178710 126357420 266854837 533709674 800564511 1067419348 1334274185 1601129022 1867983859 2668548370 3202258044 3735967718 4002822555 5337096740 5603951577 7471935436 8005645110 9339919295 11207903154 16011290220 18679838590 22415806308 28019757885 37359677180 56039515770 112079031540