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113142079800 = 2334526984079
BaseRepresentation
bin110100101011111001…
…0110010000100111000
3101211001001210011120000
41221113302302010320
53323203333023200
6123550551233000
711113523544651
oct1512762620470
9354031704500
10113142079800
1143a8a833182
1219b17078760
13a891469319
145694612528
152e22da4300
hex1a57cb2138

113142079800 has 120 divisors (see below), whose sum is σ = 392959261200. Its totient is φ = 30171216960.

The previous prime is 113142079781. The next prime is 113142079811. The reversal of 113142079800 is 8970241311.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×1131420798002 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 3475840 + ... + 3508239.

It is an arithmetic number, because the mean of its divisors is an integer number (3274660510).

Almost surely, 2113142079800 is an apocalyptic number.

113142079800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

113142079800 is an abundant number, since it is smaller than the sum of its proper divisors (279817181400).

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

113142079800 is a wasteful number, since it uses less digits than its factorization.

113142079800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6984107 (or 6984089 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The spelling of 113142079800 in words is "one hundred thirteen billion, one hundred forty-two million, seventy-nine thousand, eight hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 27 30 36 40 45 50 54 60 72 75 81 90 100 108 120 135 150 162 180 200 216 225 270 300 324 360 405 450 540 600 648 675 810 900 1080 1350 1620 1800 2025 2700 3240 4050 5400 8100 16200 6984079 13968158 20952237 27936316 34920395 41904474 55872632 62856711 69840790 83808948 104761185 125713422 139681580 167617896 174601975 188570133 209522370 251426844 279363160 314283555 349203950 377140266 419044740 502853688 523805925 565710399 628567110 698407900 754280532 838089480 942850665 1047611850 1131420798 1257134220 1396815800 1508561064 1571417775 1885701330 2095223700 2262841596 2514268440 2828551995 3142835550 3771402660 4190447400 4525683192 4714253325 5657103990 6285671100 7542805320 9428506650 11314207980 12571342200 14142759975 18857013300 22628415960 28285519950 37714026600 56571039900 113142079800