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23729000101 is a prime number
BaseRepresentation
bin10110000110010110…
…111100111010100101
32021020201022002201121
4112012112330322211
5342044111000401
614522334453541
71500012113212
oct260626747245
967221262647
1023729000101
11a077446a94
1247229642b1
132312113381
141211654b09
1593d30eca1
hex5865bcea5

23729000101 has 2 divisors, whose sum is σ = 23729000102. Its totient is φ = 23729000100.

The previous prime is 23729000081. The next prime is 23729000123. The reversal of 23729000101 is 10100092732.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 20163716001 + 3565284100 = 141999^2 + 59710^2 .

It is a cyclic number.

It is not a de Polignac number, because 23729000101 - 29 = 23728999589 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (23729000201) 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 as a sum of consecutive naturals, namely, 11864500050 + 11864500051.

It is an arithmetic number, because the mean of its divisors is an integer number (11864500051).

Almost surely, 223729000101 is an apocalyptic number.

It is an amenable number.

23729000101 is a deficient number, since it is larger than the sum of its proper divisors (1).

23729000101 is an equidigital number, since it uses as much as digits as its factorization.

23729000101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 756, while the sum is 25.

Adding to 23729000101 its reverse (10100092732), we get a palindrome (33829092833).

The spelling of 23729000101 in words is "twenty-three billion, seven hundred twenty-nine million, one hundred one", and thus it is an aban number.