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111113934372 = 223272234914027
BaseRepresentation
bin110011101111011101…
…0000001011000100100
3101121210201110201001200
41213132322001120210
53310030131344442
6123013421122500
711012335600350
oct1473672013044
9347721421050
10111113934372
1143139a12531
121964b9b9430
13a62a21917c
14554110c460
152d54cd234c
hex19dee81624

111113934372 has 144 divisors (see below), whose sum is σ = 323172175872. Its totient is φ = 31532276160.

The previous prime is 111113934367. The next prime is 111113934403. The reversal of 111113934372 is 273439311111.

111113934372 is a `hidden beast` number, since 1 + 111 + 139 + 343 + 72 = 666.

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

It is a nude number because it is divisible by every one of its digits.

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, 27590223 + ... + 27594249.

Almost surely, 2111113934372 is an apocalyptic number.

111113934372 is a gapful number since it is divisible by the number (12) 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 111113934372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161586087936).

111113934372 is an abundant number, since it is smaller than the sum of its proper divisors (212058241500).

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

111113934372 is a wasteful number, since it uses less digits than its factorization.

111113934372 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4758 (or 4753 counting only the distinct ones).

The product of its digits is 13608, while the sum is 36.

The spelling of 111113934372 in words is "one hundred eleven billion, one hundred thirteen million, nine hundred thirty-four thousand, three hundred seventy-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 223 252 446 491 669 892 982 1338 1473 1561 1964 2007 2676 2946 3122 3437 4014 4027 4419 4683 5892 6244 6874 8028 8054 8838 9366 10311 12081 13748 14049 16108 17676 18732 20622 24162 28098 28189 30933 36243 41244 48324 56196 56378 61866 72486 84567 109493 112756 123732 144972 169134 218986 253701 328479 338268 437972 507402 656958 766451 898021 985437 1014804 1313916 1532902 1796042 1970874 1977257 2299353 2694063 3065804 3592084 3941748 3954514 4598706 5388126 5931771 6286147 6898059 7909028 8082189 9197412 10776252 11863542 12572294 13796118 13840799 16164378 17795313 18858441 23727084 25144588 27592236 27681598 32328756 35590626 37716882 41522397 55363196 56575323 71181252 75433764 83044794 113150646 124567191 166089588 226301292 249134382 440928311 498268764 881856622 1322784933 1763713244 2645569866 3086498177 3968354799 5291139732 6172996354 7936709598 9259494531 12345992708 15873419196 18518989062 27778483593 37037978124 55556967186 111113934372