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113419305 = 3357111833
BaseRepresentation
bin1101100001010…
…10010000101001
321220102022001000
412300222100221
5213013404210
615130545213
72545022346
oct660522051
9256368030
10113419305
115902766a
1231b98209
131a66181c
14110c57cd
159e55ac0
hex6c2a429

113419305 has 32 divisors (see below), whose sum is σ = 204491520. Its totient is φ = 59633280.

The previous prime is 113419283. The next prime is 113419307. The reversal of 113419305 is 503914311.

113419305 is a `hidden beast` number, since 11 + 341 + 9 + 305 = 666.

It is not a de Polignac number, because 113419305 - 29 = 113418793 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (113419307) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3669 + ... + 15501.

It is an arithmetic number, because the mean of its divisors is an integer number (6390360).

Almost surely, 2113419305 is an apocalyptic number.

113419305 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

113419305 is a deficient number, since it is larger than the sum of its proper divisors (91072215).

113419305 is a wasteful number, since it uses less digits than its factorization.

113419305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11918 (or 11912 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The square root of 113419305 is about 10649.8499989436. The cubic root of 113419305 is about 484.0560589508.

The spelling of 113419305 in words is "one hundred thirteen million, four hundred nineteen thousand, three hundred five".

Divisors: 1 3 5 9 15 27 45 71 135 213 355 639 1065 1917 3195 9585 11833 35499 59165 106497 177495 319491 532485 840143 1597455 2520429 4200715 7561287 12602145 22683861 37806435 113419305