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113131319 = 723702679
BaseRepresentation
bin1101011111000…
…11111100110111
321212212122222212
412233203330313
5212430200234
615120444035
72542412630
oct657437467
9255778885
10113131319
1158950264
1231a7961b
131a590712
141104c887
159dea5ce
hex6be3f37

113131319 has 8 divisors (see below), whose sum is σ = 134914560. Its totient is φ = 92753496.

The previous prime is 113131297. The next prime is 113131321. The reversal of 113131319 is 913131311.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 113131319 - 28 = 113131063 is a prime.

It is a super-2 number, since 2×1131313192 = 25597390677359522, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 113131294 and 113131303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113131399) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 351179 + ... + 351500.

It is an arithmetic number, because the mean of its divisors is an integer number (16864320).

Almost surely, 2113131319 is an apocalyptic number.

113131319 is a deficient number, since it is larger than the sum of its proper divisors (21783241).

113131319 is an equidigital number, since it uses as much as digits as its factorization.

113131319 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 702709.

The product of its digits is 243, while the sum is 23.

The square root of 113131319 is about 10636.3207454458. The cubic root of 113131319 is about 483.6460184648.

The spelling of 113131319 in words is "one hundred thirteen million, one hundred thirty-one thousand, three hundred nineteen".

Divisors: 1 7 23 161 702679 4918753 16161617 113131319