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112241212140 = 223541433105373
BaseRepresentation
bin110100010001000011…
…0001111101011101100
3101201201021122100110010
41220202012033223230
53314332222242030
6123321330413220
711052304363431
oct1504206175354
9351637570403
10112241212140
1143668268a52
1219905431210
13a77992aa35
14560ab0bb88
152dbdc556b0
hex1a2218faec

112241212140 has 96 divisors (see below), whose sum is σ = 322687221696. Its totient is φ = 29133250560.

The previous prime is 112241212129. The next prime is 112241212157. The reversal of 112241212140 is 41212142211.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1012494 + ... + 1117866.

It is an arithmetic number, because the mean of its divisors is an integer number (3361325226).

Almost surely, 2112241212140 is an apocalyptic number.

112241212140 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 112241212140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161343610848).

112241212140 is an abundant number, since it is smaller than the sum of its proper divisors (210446009556).

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

112241212140 is a wasteful number, since it uses less digits than its factorization.

112241212140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105859 (or 105857 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 21.

Adding to 112241212140 its reverse (41212142211), we get a palindrome (153453354351).

The spelling of 112241212140 in words is "one hundred twelve billion, two hundred forty-one million, two hundred twelve thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 41 60 82 123 164 205 246 410 433 492 615 820 866 1230 1299 1732 2165 2460 2598 4330 5196 6495 8660 12990 17753 25980 35506 53259 71012 88765 105373 106518 177530 210746 213036 266295 316119 355060 421492 526865 532590 632238 1053730 1065180 1264476 1580595 2107460 3161190 4320293 6322380 8640586 12960879 17281172 21601465 25921758 43202930 45626509 51843516 64804395 86405860 91253018 129608790 136879527 182506036 228132545 259217580 273759054 456265090 547518108 684397635 912530180 1368795270 1870686869 2737590540 3741373738 5612060607 7482747476 9353434345 11224121214 18706868690 22448242428 28060303035 37413737380 56120606070 112241212140