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111114848412 = 2234619975639
BaseRepresentation
bin110011101111011110…
…1100000100010011100
3101121210210012010220000
41213132331200202130
53310030400122122
6123013452454300
711012346425241
oct1473675404234
9347723163800
10111114848412
114313a487237
121965017a390
13a62a479219
1455412a95c8
152d54e130ac
hex19def6089c

111114848412 has 120 divisors (see below), whose sum is σ = 295586602080. Its totient is φ = 36388103040.

The previous prime is 111114848393. The next prime is 111114848437. The reversal of 111114848412 is 214848411111.

111114848412 is a `hidden beast` number, since 11 + 11 + 148 + 484 + 12 = 666.

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 39 ways as a sum of consecutive naturals, for example, 19701889 + ... + 19707527.

It is an arithmetic number, because the mean of its divisors is an integer number (2463221684).

Almost surely, 2111114848412 is an apocalyptic number.

111114848412 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 111114848412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147793301040).

111114848412 is an abundant number, since it is smaller than the sum of its proper divisors (184471753668).

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

111114848412 is a wasteful number, since it uses less digits than its factorization.

111114848412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6713 (or 6702 counting only the distinct ones).

The product of its digits is 8192, while the sum is 36.

The spelling of 111114848412 in words is "one hundred eleven billion, one hundred fourteen million, eight hundred forty-eight thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 61 81 108 122 162 183 244 324 366 549 732 997 1098 1647 1994 2196 2991 3294 3988 4941 5639 5982 6588 8973 9882 11278 11964 16917 17946 19764 22556 26919 33834 35892 50751 53838 60817 67668 80757 101502 107676 121634 152253 161514 182451 203004 243268 304506 323028 343979 364902 456759 547353 609012 687958 729804 913518 1031937 1094706 1375916 1642059 1827036 2063874 2189412 3095811 3284118 4127748 4926177 5622083 6191622 6568236 9287433 9852354 11244166 12383244 16866249 18574866 19704708 22488332 27862299 33732498 37149732 50598747 55724598 67464996 101197494 111449196 151796241 202394988 303592482 342947063 455388723 607184964 685894126 910777446 1028841189 1371788252 1821554892 2057682378 3086523567 4115364756 6173047134 9259570701 12346094268 18519141402 27778712103 37038282804 55557424206 111114848412