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113830827 = 31117202907
BaseRepresentation
bin1101100100011…
…10101110101011
321221012012112120
412302032232223
5213120041302
615143442323
72551355205
oct662165653
9257165476
10113830827
1159288870
12321563a3
131a776c26
1411191775
159ed79bc
hex6c8ebab

113830827 has 16 divisors (see below), whose sum is σ = 175312512. Its totient is φ = 64929920.

The previous prime is 113830823. The next prime is 113830837. The reversal of 113830827 is 728038311.

It is not a de Polignac number, because 113830827 - 22 = 113830823 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 (113830823) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 100893 + ... + 102014.

It is an arithmetic number, because the mean of its divisors is an integer number (10957032).

Almost surely, 2113830827 is an apocalyptic number.

113830827 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

113830827 is a deficient number, since it is larger than the sum of its proper divisors (61481685).

113830827 is a wasteful number, since it uses less digits than its factorization.

113830827 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202938.

The product of its (nonzero) digits is 8064, while the sum is 33.

The square root of 113830827 is about 10669.1530591702. The cubic root of 113830827 is about 484.6407897471.

The spelling of 113830827 in words is "one hundred thirteen million, eight hundred thirty thousand, eight hundred twenty-seven".

Divisors: 1 3 11 17 33 51 187 561 202907 608721 2231977 3449419 6695931 10348257 37943609 113830827