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112317000975 = 3352478939779
BaseRepresentation
bin110100010011010011…
…1010110110100001111
3101201220120020211012000
41220212213112310033
53320011123012400
6123333035043343
711054214520224
oct1504647266417
9351816224160
10112317000975
11436a7023253
12199268a0553
13a78c5453ba
145616bd994b
152dc5726600
hex1a269d6d0f

112317000975 has 96 divisors (see below), whose sum is σ = 213093504000. Its totient is φ = 57967683840.

The previous prime is 112317000973. The next prime is 112317001003. The reversal of 112317000975 is 579000713211.

It is not a de Polignac number, because 112317000975 - 21 = 112317000973 is a prime.

Together with 100776503025 it forms an amicable pair .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112317000973) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2803636 + ... + 2843414.

It is an arithmetic number, because the mean of its divisors is an integer number (2219724000).

Almost surely, 2112317000975 is an apocalyptic number.

112317000975 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

112317000975 is a deficient number, since it is larger than the sum of its proper divisors (100776503025).

112317000975 is a wasteful number, since it uses less digits than its factorization.

112317000975 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39934 (or 39923 counting only the distinct ones).

The product of its (nonzero) digits is 13230, while the sum is 36.

The spelling of 112317000975 in words is "one hundred twelve billion, three hundred seventeen million, nine hundred seventy-five", and thus it is an aban number.

Divisors: 1 3 5 9 15 25 27 45 47 75 89 135 141 225 235 267 423 445 675 705 801 1175 1269 1335 2115 2225 2403 3525 4005 4183 6345 6675 10575 12015 12549 20025 20915 31725 37647 39779 60075 62745 104575 112941 119337 188235 198895 313725 358011 564705 596685 941175 994475 1074033 1790055 1869613 2823525 2983425 3540331 5370165 5608839 8950275 9348065 10620993 16826517 17701655 26850825 28044195 31862979 46740325 50479551 53104965 84132585 88508275 95588937 140220975 159314895 166395557 252397755 265524825 420662925 477944685 499186671 796574475 831977785 1261988775 1497560013 2389723425 2495933355 4159888925 4492680039 7487800065 12479666775 22463400195 37439000325 112317000975