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112120112120094 = 2321313125031461287
BaseRepresentation
bin11001011111100011111111…
…011101001000000100011110
3112200222120121101112112102200
4121133203333131020010132
5104143433442200320334
61034243133552232330
732421260620302021
oct3137437735100436
9480876541475380
10112120112120094
11327a7966365631
12106a976683b6a6
134a73b5c018230
141d988dc9a11b8
15ce677c441799
hex65f8ff74811e

112120112120094 has 96 divisors (see below), whose sum is σ = 263716143634944. Its totient is φ = 34221447673920.

The previous prime is 112120112120077. The next prime is 112120112120119. The reversal of 112120112120094 is 490021211021211.

It is a super-3 number, since 3×1121201121200943 (a number of 43 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 75996319 + ... + 77457605.

It is an arithmetic number, because the mean of its divisors is an integer number (2747043162864).

Almost surely, 2112120112120094 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112120112120094, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131858071817472).

112120112120094 is an abundant number, since it is smaller than the sum of its proper divisors (151596031514850).

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

112120112120094 is a wasteful number, since it uses less digits than its factorization.

112120112120094 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1463942 (or 1463939 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 27.

The spelling of 112120112120094 in words is "one hundred twelve trillion, one hundred twenty billion, one hundred twelve million, one hundred twenty thousand, ninety-four".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 131 234 262 393 786 1179 1703 2358 2503 3406 5006 5109 7509 10218 15018 15327 22527 30654 32539 45054 65078 97617 195234 292851 327893 585702 655786 983679 1461287 1967358 2922574 2951037 4262609 4383861 5902074 8525218 8767722 12787827 13151583 18996731 25575654 26303166 37993462 38363481 56990193 76726962 113980386 170970579 191428597 341941158 382857194 574285791 1148571582 1722857373 2488571761 3445714746 3657601361 4977143522 7315202722 7465715283 10972804083 14931430566 21945608166 22397145849 32918412249 44794291698 47548817693 65836824498 95097635386 142646453079 285292906158 427939359237 479145778291 855878718474 958291556582 1437437334873 2874874669746 4312312004619 6228895117783 8624624009238 12457790235566 18686685353349 37373370706698 56060056060047 112120112120094