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113037311 is a prime number
BaseRepresentation
bin1101011110011…
…00111111111111
321212200220001002
412233030333333
5212414143221
615114440515
72541541562
oct657147777
9255626032
10113037311
1158896672
1231a3313b
131a5599aa
14110264d9
159dcc80b
hex6bccfff

113037311 has 2 divisors, whose sum is σ = 113037312. Its totient is φ = 113037310.

The previous prime is 113037293. The next prime is 113037313. The reversal of 113037311 is 113730311.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 113037311 - 214 = 113020927 is a prime.

It is a super-3 number, since 3×1130373113 (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Sophie Germain prime.

Together with 113037313, it forms a pair of twin primes.

It is a Chen prime.

It is a plaindrome in base 16.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (113037313) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 56518655 + 56518656.

It is an arithmetic number, because the mean of its divisors is an integer number (56518656).

Almost surely, 2113037311 is an apocalyptic number.

113037311 is a deficient number, since it is larger than the sum of its proper divisors (1).

113037311 is an equidigital number, since it uses as much as digits as its factorization.

113037311 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 189, while the sum is 20.

The square root of 113037311 is about 10631.9006297087. The cubic root of 113037311 is about 483.5120172740.

Adding to 113037311 its reverse (113730311), we get a palindrome (226767622).

The spelling of 113037311 in words is "one hundred thirteen million, thirty-seven thousand, three hundred eleven".