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113123321 = 1719218433
BaseRepresentation
bin1101011111000…
…01111111111001
321212212021000122
412233201333321
5212424421241
615120343025
72542350413
oct657417771
9255767018
10113123321
1158945253
1231a74a75
131a589b9c
14110499b3
159de804b
hex6be1ff9

113123321 has 12 divisors (see below), whose sum is σ = 126420372. Its totient is φ = 100859904.

The previous prime is 113123317. The next prime is 113123327. The reversal of 113123321 is 123321311.

It can be written as a sum of positive squares in 2 ways, for example, as 76387600 + 36735721 = 8740^2 + 6061^2 .

It is not a de Polignac number, because 113123321 - 22 = 113123317 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 113123321.

It is not an unprimeable number, because it can be changed into a prime (113123327) 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 11 ways as a sum of consecutive naturals, for example, 3080 + ... + 15353.

It is an arithmetic number, because the mean of its divisors is an integer number (10535031).

Almost surely, 2113123321 is an apocalyptic number.

It is an amenable number.

113123321 is a deficient number, since it is larger than the sum of its proper divisors (13297051).

113123321 is a wasteful number, since it uses less digits than its factorization.

113123321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18488 (or 18469 counting only the distinct ones).

The product of its digits is 108, while the sum is 17.

The square root of 113123321 is about 10635.9447629254. The cubic root of 113123321 is about 483.6346208193.

Adding to 113123321 its reverse (123321311), we get a palindrome (236444632).

The spelling of 113123321 in words is "one hundred thirteen million, one hundred twenty-three thousand, three hundred twenty-one".

Divisors: 1 17 19 323 361 6137 18433 313361 350227 5953859 6654313 113123321