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111255251140 = 2251110147910453
BaseRepresentation
bin110011110011101010…
…1000110100011000100
3101122011120101100020001
41213213111012203010
53310322321014030
6123035430051044
711016003013525
oct1474725064304
9348146340201
10111255251140
1143201763950
121968b1a9a84
13a650597967
145555bb684c
152d623e8cca
hex19e75468c4

111255251140 has 96 divisors (see below), whose sum is σ = 257961231360. Its totient is φ = 39968448000.

The previous prime is 111255251117. The next prime is 111255251153. The reversal of 111255251140 is 41152552111.

It is a junction number, because it is equal to n+sod(n) for n = 111255251099 and 111255251108.

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, 10638154 + ... + 10648606.

It is an arithmetic number, because the mean of its divisors is an integer number (2687096160).

Almost surely, 2111255251140 is an apocalyptic number.

111255251140 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 111255251140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128980615680).

111255251140 is an abundant number, since it is smaller than the sum of its proper divisors (146705980220).

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

111255251140 is a wasteful number, since it uses less digits than its factorization.

111255251140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11053 (or 11051 counting only the distinct ones).

The product of its (nonzero) digits is 2000, while the sum is 28.

The spelling of 111255251140 in words is "one hundred eleven billion, two hundred fifty-five million, two hundred fifty-one thousand, one hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 101 110 202 220 404 479 505 958 1010 1111 1916 2020 2222 2395 4444 4790 5269 5555 9580 10453 10538 11110 20906 21076 22220 26345 41812 48379 52265 52690 96758 104530 105380 114983 193516 209060 229966 241895 459932 483790 532169 574915 967580 1055753 1064338 1149830 2111506 2128676 2299660 2660845 4223012 5006987 5278765 5321690 10013974 10557530 10643380 11613283 20027948 21115060 23226566 25034935 46453132 50069870 55076857 58066415 100139740 110153714 116132830 220307428 232265660 275384285 505705687 550768570 1011411374 1101537140 2022822748 2528528435 5057056870 5562762557 10114113740 11125525114 22251050228 27813812785 55627625570 111255251140