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110997116244 = 2232717173149767
BaseRepresentation
bin110011101011111110…
…0011001010101010100
3101121111120122201201100
41213113330121111110
53304310230204434
6122554045230100
711006416630620
oct1472774312524
9347446581640
10110997116244
1143089a84323
1219618862330
13a60bc67611
14552d7c0180
152d49909699
hex19d7f19554

110997116244 has 144 divisors (see below), whose sum is σ = 341485417728. Its totient is φ = 29675234304.

The previous prime is 110997116233. The next prime is 110997116327. The reversal of 110997116244 is 442611799011.

110997116244 is a `hidden beast` number, since 1 + 1 + 0 + 9 + 9 + 7 + 11 + 624 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 110997116244.

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, 666249 + ... + 816015.

It is an arithmetic number, because the mean of its divisors is an integer number (2371426512).

Almost surely, 2110997116244 is an apocalyptic number.

110997116244 is a gapful number since it is divisible by the number (14) 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 110997116244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170742708864).

110997116244 is an abundant number, since it is smaller than the sum of its proper divisors (230488301484).

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

110997116244 is a wasteful number, since it uses less digits than its factorization.

110997116244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149974 (or 149969 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 45.

The spelling of 110997116244 in words is "one hundred ten billion, nine hundred ninety-seven million, one hundred sixteen thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 7 9 12 14 17 18 21 28 34 36 42 51 63 68 84 102 119 126 153 173 204 238 252 306 346 357 476 519 612 692 714 1038 1071 1211 1428 1557 2076 2142 2422 2941 3114 3633 4284 4844 5882 6228 7266 8823 10899 11764 14532 17646 20587 21798 26469 35292 41174 43596 52938 61761 82348 105876 123522 149767 185283 247044 299534 370566 449301 599068 741132 898602 1048369 1347903 1797204 2096738 2546039 2695806 3145107 4193476 5092078 5391612 6290214 7638117 9435321 10184156 12580428 15276234 17822273 18870642 22914351 25909691 30552468 35644546 37741284 45828702 51819382 53466819 71289092 77729073 91657404 103638764 106933638 155458146 160400457 181367837 213867276 233187219 310916292 320800914 362735674 440464747 466374438 544103511 641601828 725471348 880929494 932748876 1088207022 1321394241 1632310533 1761858988 2176414044 2642788482 3083253229 3264621066 3964182723 5285576964 6166506458 6529242132 7928365446 9249759687 12333012916 15856730892 18499519374 27749279061 36999038748 55498558122 110997116244