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112403454336135 = 325411223304116381
BaseRepresentation
bin11001100011101011110111…
…111101111001110010000111
3112201222122221222220110102100
4121203223313331321302013
5104213104233302224020
61035021233431243143
732450611245350514
oct3143536775716207
9481878858813370
10112403454336135
11328a7045691226
12107346615194b3
134a947a5a12931
141da84db66630b
15cedd124c5a90
hex663af7f79c87

112403454336135 has 96 divisors (see below), whose sum is σ = 199825745648256. Its totient is φ = 58415745024000.

The previous prime is 112403454336133. The next prime is 112403454336137. The reversal of 112403454336135 is 531633454304211.

112403454336135 is a `hidden beast` number, since 1 + 1 + 2 + 40 + 3 + 4 + 543 + 3 + 61 + 3 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (112403454336133) and next prime (112403454336137).

It is not a de Polignac number, because 112403454336135 - 21 = 112403454336133 is a prime.

It is a super-2 number, since 2×1124034543361352 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112403454336133) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6861810645 + ... + 6861827025.

It is an arithmetic number, because the mean of its divisors is an integer number (2081518183836).

Almost surely, 2112403454336135 is an apocalyptic number.

112403454336135 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

112403454336135 is a deficient number, since it is larger than the sum of its proper divisors (87422291312121).

112403454336135 is a wasteful number, since it uses less digits than its factorization.

112403454336135 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20697 (or 20694 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 45.

The spelling of 112403454336135 in words is "one hundred twelve trillion, four hundred three billion, four hundred fifty-four million, three hundred thirty-six thousand, one hundred thirty-five".

Divisors: 1 3 5 9 15 41 45 123 205 369 615 1223 1845 3041 3669 6115 9123 11007 15205 16381 18345 27369 45615 49143 50143 55035 81905 124681 136845 147429 150429 245715 250715 374043 451287 623405 671621 737145 752145 1122129 1870215 2014863 2256435 3358105 3719143 5610645 6044589 10074315 11157429 18595715 20033963 30222945 33472287 49814621 55787145 60101889 100169815 149443863 152484863 167361435 180305667 249073105 300509445 448331589 457454589 747219315 762424315 821392483 901528335 1372363767 2042399461 2241657945 2287272945 2464177449 4106962415 6127198383 6861818835 7392532347 10211997305 12320887245 18381595149 30635991915 36962661735 60923281483 91907975745 182769844449 304616407415 548309533347 913849222245 2497854540803 2741547666735 7493563622409 12489272704015 22480690867227 37467818112045 112403454336135