Search a number
-
+
23040385507 is a prime number
BaseRepresentation
bin10101011101010100…
…000110000111100011
32012110201112212002101
4111131110012013203
5334141314314012
614330135231231
71443651021406
oct253524060743
965421485071
1023040385507
119853773717
124570218517
13223255c309
141188001d3d
158ecb3ad57
hex55d5061e3

23040385507 has 2 divisors, whose sum is σ = 23040385508. Its totient is φ = 23040385506.

The previous prime is 23040385483. The next prime is 23040385523. The reversal of 23040385507 is 70558304032.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-23040385507 is a prime.

It is a super-3 number, since 3×230403855073 (a number of 32 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not a weakly prime, because it can be changed into another prime (23040385807) 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, 11520192753 + 11520192754.

It is an arithmetic number, because the mean of its divisors is an integer number (11520192754).

Almost surely, 223040385507 is an apocalyptic number.

23040385507 is a deficient number, since it is larger than the sum of its proper divisors (1).

23040385507 is an equidigital number, since it uses as much as digits as its factorization.

23040385507 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 100800, while the sum is 37.

Adding to 23040385507 its reverse (70558304032), we get a palindrome (93598689539).

The spelling of 23040385507 in words is "twenty-three billion, forty million, three hundred eighty-five thousand, five hundred seven".