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23613313 is a prime number
BaseRepresentation
bin101101000010…
…0111110000001
31122102200101011
41122010332001
522021111223
62202040521
7404465323
oct132047601
948380334
1023613313
1112369039
127aa9141
134b79c99
1431c9613
15211680d
hex1684f81

23613313 has 2 divisors, whose sum is σ = 23613314. Its totient is φ = 23613312.

The previous prime is 23613311. The next prime is 23613329. The reversal of 23613313 is 31331632.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 18378369 + 5234944 = 4287^2 + 2288^2 .

It is a cyclic number.

It is not a de Polignac number, because 23613313 - 21 = 23613311 is a prime.

Together with 23613311, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (23613311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11806656 + 11806657.

It is an arithmetic number, because the mean of its divisors is an integer number (11806657).

Almost surely, 223613313 is an apocalyptic number.

It is an amenable number.

23613313 is a deficient number, since it is larger than the sum of its proper divisors (1).

23613313 is an equidigital number, since it uses as much as digits as its factorization.

23613313 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 972, while the sum is 22.

The square root of 23613313 is about 4859.3531462531. The cubic root of 23613313 is about 286.8923544228.

Adding to 23613313 its reverse (31331632), we get a palindrome (54944945).

The spelling of 23613313 in words is "twenty-three million, six hundred thirteen thousand, three hundred thirteen".