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117121224096 = 25323361120997
BaseRepresentation
bin110110100010011111…
…0000000110110100000
3102012022101020122100200
41231010332000312200
53404331013132341
6125445454145200
711314241656512
oct1550476006640
9365271218320
10117121224096
1145741972188
121a8477b2200
13b076967c86
145950c97bb2
1530a73a9db6
hex1b44f80da0

117121224096 has 72 divisors (see below), whose sum is σ = 333165331044. Its totient is φ = 39028469760.

The previous prime is 117121224079. The next prime is 117121224113. The reversal of 117121224096 is 690422121711.

117121224096 is a `hidden beast` number, since 117 + 1 + 212 + 240 + 96 = 666.

It is an interprime number because it is at equal distance from previous prime (117121224079) and next prime (117121224113).

It can be written as a sum of positive squares in 2 ways, for example, as 115205936400 + 1915287696 = 339420^2 + 43764^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×1171212240962 (a number of 23 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 117121224096.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 907470 + ... + 1028466.

Almost surely, 2117121224096 is an apocalyptic number.

117121224096 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

117121224096 is an abundant number, since it is smaller than the sum of its proper divisors (216044106948).

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

117121224096 is a wasteful number, since it uses less digits than its factorization.

117121224096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124374 (or 124363 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The spelling of 117121224096 in words is "one hundred seventeen billion, one hundred twenty-one million, two hundred twenty-four thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 3361 6722 10083 13444 20166 26888 30249 40332 53776 60498 80664 107552 120996 120997 161328 241992 241994 322656 362991 483984 483988 725982 967968 967976 1088973 1451964 1935952 2177946 2903928 3871904 4355892 5807856 8711784 11615712 17423568 34847136 406670917 813341834 1220012751 1626683668 2440025502 3253367336 3660038253 4880051004 6506734672 7320076506 9760102008 13013469344 14640153012 19520204016 29280306024 39040408032 58560612048 117121224096