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113131313 = 169966587
BaseRepresentation
bin1101011111000…
…11111100110001
321212212122222122
412233203330301
5212430200223
615120444025
72542412621
oct657437461
9255778878
10113131313
1158950259
1231a79615
131a590709
141104c881
159dea5c8
hex6be3f31

113131313 has 4 divisors (see below), whose sum is σ = 113199600. Its totient is φ = 113063028.

The previous prime is 113131297. The next prime is 113131321. The reversal of 113131313 is 313131311.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4, and also an emirpimes, since its reverse is a distinct semiprime: 313131311 = 433723167.

It is a cyclic number.

It is not a de Polignac number, because 113131313 - 24 = 113131297 is a prime.

It is a super-2 number, since 2×1131313132 = 25597387962207938, which contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 113131291 and 113131300.

It is not an unprimeable number, because it can be changed into a prime (113131363) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 31595 + ... + 34992.

It is an arithmetic number, because the mean of its divisors is an integer number (28299900).

Almost surely, 2113131313 is an apocalyptic number.

It is an amenable number.

113131313 is a deficient number, since it is larger than the sum of its proper divisors (68287).

113131313 is an equidigital number, since it uses as much as digits as its factorization.

113131313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68286.

The product of its digits is 81, while the sum is 17.

The square root of 113131313 is about 10636.3204633933. The cubic root of 113131313 is about 483.6460099147.

Adding to 113131313 its reverse (313131311), we get a palindrome (426262624).

It can be divided in two parts, 11 and 3131313, that multiplied together give a palindrome (34444443).

The spelling of 113131313 in words is "one hundred thirteen million, one hundred thirty-one thousand, three hundred thirteen".

Divisors: 1 1699 66587 113131313