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23000413 is a prime number
BaseRepresentation
bin101011110111…
…1010101011101
31121021112122011
41113233111131
521342003123
62140551221
7366333412
oct127572535
947245564
1023000413
1111a8a607
127852511
1349c4017
1430aa109
152044e0d
hex15ef55d

23000413 has 2 divisors, whose sum is σ = 23000414. Its totient is φ = 23000412.

The previous prime is 23000401. The next prime is 23000429. The reversal of 23000413 is 31400032.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 20268004 + 2732409 = 4502^2 + 1653^2 .

It is a cyclic number.

It is not a de Polignac number, because 23000413 - 29 = 22999901 is a prime.

It is a super-4 number, since 4×230004134 (a number of 31 digits) contains 4444 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 23000393 and 23000402.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (23000113) 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 as a sum of consecutive naturals, namely, 11500206 + 11500207.

It is an arithmetic number, because the mean of its divisors is an integer number (11500207).

Almost surely, 223000413 is an apocalyptic number.

It is an amenable number.

23000413 is a deficient number, since it is larger than the sum of its proper divisors (1).

23000413 is an equidigital number, since it uses as much as digits as its factorization.

23000413 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72, while the sum is 13.

The square root of 23000413 is about 4795.8745813459. The cubic root of 23000413 is about 284.3884001736.

Adding to 23000413 its reverse (31400032), we get a palindrome (54400445).

The spelling of 23000413 in words is "twenty-three million, four hundred thirteen", and thus it is an aban number.