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113280144417 = 32113136911093
BaseRepresentation
bin110100110000000000…
…1011101010000100001
3101211101200120120121100
41221200001131100201
53323444204110132
6124012402345013
711120121224466
oct1514001352041
9354350516540
10113280144417
1144050763170
1219b5535b169
13a8b3c4976b
1456a8ab166d
152e3007737c
hex1a6005d421

113280144417 has 24 divisors (see below), whose sum is σ = 184260181248. Its totient is φ = 66439965600.

The previous prime is 113280144403. The next prime is 113280144421. The reversal of 113280144417 is 714441082311.

113280144417 is a `hidden beast` number, since 1 + 132 + 80 + 1 + 4 + 441 + 7 = 666.

It is not a de Polignac number, because 113280144417 - 24 = 113280144401 is a prime.

It is a super-2 number, since 2×1132801444172 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (113280148417) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18452478 + ... + 18458615.

It is an arithmetic number, because the mean of its divisors is an integer number (7677507552).

Almost surely, 2113280144417 is an apocalyptic number.

It is an amenable number.

113280144417 is a deficient number, since it is larger than the sum of its proper divisors (70980036831).

113280144417 is a wasteful number, since it uses less digits than its factorization.

113280144417 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36911141 (or 36911138 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The spelling of 113280144417 in words is "one hundred thirteen billion, two hundred eighty million, one hundred forty-four thousand, four hundred seventeen".

Divisors: 1 3 9 11 31 33 93 99 279 341 1023 3069 36911093 110733279 332199837 406022023 1144243883 1218066069 3432731649 3654198207 10298194947 12586682713 37760048139 113280144417