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112525523140 = 225176715132713
BaseRepresentation
bin110100011001100001…
…0110011100011000100
3101202110002121211211011
41220303002303203010
53320423013220030
6123405444252004
711062326110452
oct1506302634304
9352402554734
10112525523140
11437a37a7018
12199846a1004
13a7c37c46b4
1456367999d2
152dd8bb5b2a
hex1a330b38c4

112525523140 has 96 divisors (see below), whose sum is σ = 255627719424. Its totient is φ = 41452646400.

The previous prime is 112525523111. The next prime is 112525523147. The reversal of 112525523140 is 41325525211.

It is not an unprimeable number, because it can be changed into a prime (112525523147) 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, 3423424 + ... + 3456136.

It is an arithmetic number, because the mean of its divisors is an integer number (2662788744).

Almost surely, 2112525523140 is an apocalyptic number.

112525523140 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 112525523140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127813859712).

112525523140 is an abundant number, since it is smaller than the sum of its proper divisors (143102196284).

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

112525523140 is a wasteful number, since it uses less digits than its factorization.

112525523140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32957 (or 32955 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 31.

The spelling of 112525523140 in words is "one hundred twelve billion, five hundred twenty-five million, five hundred twenty-three thousand, one hundred forty".

Divisors: 1 2 4 5 10 17 20 34 67 68 85 134 151 170 268 302 335 340 604 670 755 1139 1340 1510 2278 2567 3020 4556 5134 5695 10117 10268 11390 12835 20234 22780 25670 32713 40468 50585 51340 65426 101170 130852 163565 171989 202340 327130 343978 556121 654260 687956 859945 1112242 1719890 2191771 2224484 2780605 3439780 4383542 4939663 5561210 8767084 9879326 10958855 11122420 19758652 21917710 24698315 37260107 43835420 49396630 74520214 83974271 98793260 149040428 167948542 186300535 330957421 335897084 372601070 419871355 661914842 745202140 839742710 1323829684 1654787105 1679485420 3309574210 5626276157 6619148420 11252552314 22505104628 28131380785 56262761570 112525523140