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23013120401 is a prime number
BaseRepresentation
bin10101011011101100…
…000101100110010001
32012101211020122101122
4111123230011212101
5334112324323101
614323323012025
71443200203325
oct253354054621
965354218348
1023013120401
11983a340a77
12456306a015
132229a0410b
141184545985
158ea55251b
hex55bb05991

23013120401 has 2 divisors, whose sum is σ = 23013120402. Its totient is φ = 23013120400.

The previous prime is 23013120349. The next prime is 23013120457. The reversal of 23013120401 is 10402131032.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 17993539600 + 5019580801 = 134140^2 + 70849^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-23013120401 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 23013120401.

It is not a weakly prime, because it can be changed into another prime (23013120101) 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, 11506560200 + 11506560201.

It is an arithmetic number, because the mean of its divisors is an integer number (11506560201).

Almost surely, 223013120401 is an apocalyptic number.

It is an amenable number.

23013120401 is a deficient number, since it is larger than the sum of its proper divisors (1).

23013120401 is an equidigital number, since it uses as much as digits as its factorization.

23013120401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 23013120401 its reverse (10402131032), we get a palindrome (33415251433).

The spelling of 23013120401 in words is "twenty-three billion, thirteen million, one hundred twenty thousand, four hundred one".