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113837361 = 3114184137
BaseRepresentation
bin1101100100100…
…00010100110001
321221012112111120
412302100110301
5213120243421
615143532453
72551413231
oct662202461
9257175446
10113837361
1159292770
123215a129
131a779bb1
1411193cc1
159ed98c6
hex6c90531

113837361 has 16 divisors (see below), whose sum is σ = 169622208. Its totient is φ = 67308800.

The previous prime is 113837359. The next prime is 113837371. The reversal of 113837361 is 163738311.

It is a cyclic number.

It is not a de Polignac number, because 113837361 - 21 = 113837359 is a prime.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (113837371) 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 15 ways as a sum of consecutive naturals, for example, 40716 + ... + 43421.

It is an arithmetic number, because the mean of its divisors is an integer number (10601388).

Almost surely, 2113837361 is an apocalyptic number.

113837361 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

113837361 is a deficient number, since it is larger than the sum of its proper divisors (55784847).

113837361 is a wasteful number, since it uses less digits than its factorization.

113837361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84192.

The product of its digits is 9072, while the sum is 33.

The square root of 113837361 is about 10669.4592646488. The cubic root of 113837361 is about 484.6500625203.

The spelling of 113837361 in words is "one hundred thirteen million, eight hundred thirty-seven thousand, three hundred sixty-one".

Divisors: 1 3 11 33 41 123 451 1353 84137 252411 925507 2776521 3449617 10348851 37945787 113837361