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23712313 is a prime number
BaseRepresentation
bin101101001110…
…1001000111001
31122121201011211
41122131020321
522032243223
62204123121
7405360052
oct132351071
948551154
1023712313
1112426459
127b364a1
134bb3071
143213729
152135d0d
hex169d239

23712313 has 2 divisors, whose sum is σ = 23712314. Its totient is φ = 23712312.

The previous prime is 23712257. The next prime is 23712317. The reversal of 23712313 is 31321732.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 18292729 + 5419584 = 4277^2 + 2328^2 .

It is a cyclic number.

It is not a de Polignac number, because 23712313 - 217 = 23581241 is a prime.

It is equal to p1490215 and since 23712313 and 1490215 have the same sum of digits, it is a Honaker prime.

It is not a weakly prime, because it can be changed into another prime (23712317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11856156 + 11856157.

It is an arithmetic number, because the mean of its divisors is an integer number (11856157).

Almost surely, 223712313 is an apocalyptic number.

It is an amenable number.

23712313 is a deficient number, since it is larger than the sum of its proper divisors (1).

23712313 is an equidigital number, since it uses as much as digits as its factorization.

23712313 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 756, while the sum is 22.

The square root of 23712313 is about 4869.5290326684. The cubic root of 23712313 is about 287.2927322736.

It can be divided in two parts, 23712 and 313, that added together give a square (24025 = 1552).

The spelling of 23712313 in words is "twenty-three million, seven hundred twelve thousand, three hundred thirteen".