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112517311320 = 233251787174901
BaseRepresentation
bin110100011001010001…
…1011110101101011000
3101202102112011122022200
41220302203132231120
53320413412430240
6123404552250200
711062166236341
oct1506243365530
9352375148280
10112517311320
114379a0a8397
12199819a0960
13a7c1baaa2b
14563565d0c8
152dd80e2930
hex1a328deb58

112517311320 has 96 divisors (see below), whose sum is σ = 365887987920. Its totient is φ = 29987654400.

The previous prime is 112517311301. The next prime is 112517311339. The reversal of 112517311320 is 23113715211.

112517311320 is a `hidden beast` number, since 1 + 1 + 25 + 1 + 7 + 311 + 320 = 666.

It is an interprime number because it is at equal distance from previous prime (112517311301) and next prime (112517311339).

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 23 ways as a sum of consecutive naturals, for example, 555870 + ... + 730770.

Almost surely, 2112517311320 is an apocalyptic number.

112517311320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112517311320 is an abundant number, since it is smaller than the sum of its proper divisors (253370676600).

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

112517311320 is a wasteful number, since it uses less digits than its factorization.

112517311320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176705 (or 176698 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 27.

The spelling of 112517311320 in words is "one hundred twelve billion, five hundred seventeen million, three hundred eleven thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 1787 3574 5361 7148 8935 10722 14296 16083 17870 21444 26805 32166 35740 42888 53610 64332 71480 80415 107220 128664 160830 174901 214440 321660 349802 524703 643320 699604 874505 1049406 1399208 1574109 1749010 2098812 2623515 3148218 3498020 4197624 5247030 6296436 6996040 7870545 10494060 12592872 15741090 20988120 31482180 62964360 312548087 625096174 937644261 1250192348 1562740435 1875288522 2500384696 2812932783 3125480870 3750577044 4688221305 5625865566 6250961740 7501154088 9376442610 11251731132 12501923480 14064663915 18752885220 22503462264 28129327830 37505770440 56258655660 112517311320