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112407432270 = 23572372066693
BaseRepresentation
bin110100010110000000…
…0010100110001001110
3101202010212102012121020
41220230000110301032
53320202300313040
6123350025215010
711056363260300
oct1505400246116
9352125365536
10112407432270
1143743079661
1219951031466
13a7a51b8743
145624c19970
152dcd63acd0
hex1a2c014c4e

112407432270 has 96 divisors (see below), whose sum is σ = 322305062688. Its totient is φ = 24998706432.

The previous prime is 112407432227. The next prime is 112407432271. The reversal of 112407432270 is 72234704211.

112407432270 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112407432271) 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, 978957 + ... + 1087736.

It is an arithmetic number, because the mean of its divisors is an integer number (3357344403).

Almost surely, 2112407432270 is an apocalyptic number.

112407432270 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

112407432270 is an abundant number, since it is smaller than the sum of its proper divisors (209897630418).

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

112407432270 is a wasteful number, since it uses less digits than its factorization.

112407432270 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2066754 (or 2066747 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 33.

The spelling of 112407432270 in words is "one hundred twelve billion, four hundred seven million, four hundred thirty-two thousand, two hundred seventy".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 37 42 49 70 74 98 105 111 147 185 210 222 245 259 294 370 490 518 555 735 777 1110 1295 1470 1554 1813 2590 3626 3885 5439 7770 9065 10878 18130 27195 54390 2066693 4133386 6200079 10333465 12400158 14466851 20666930 28933702 31000395 43400553 62000790 72334255 76467641 86801106 101267957 144668510 152935282 202535914 217002765 229402923 303803871 382338205 434005530 458805846 506339785 535273487 607607742 764676410 1012679570 1070546974 1147014615 1519019355 1605820461 2294029230 2676367435 3038038710 3211640922 3746914409 5352734870 7493828818 8029102305 11240743227 16058204610 18734572045 22481486454 37469144090 56203716135 112407432270