Search a number
-
+
23111001301009 is a prime number
BaseRepresentation
bin1010100000100111100110…
…00001011110000000010001
310000211101112102021010020111
411100103303001132000101
511012122312313113014
6121053014124441321
74603500104536246
oct520236301360021
9100741472233214
1023111001301009
117400358806116
1227130976a9241
13cb84868b4c2b
1459c8153035cd
152a128455e2c4
hex1504f305e011

23111001301009 has 2 divisors, whose sum is σ = 23111001301010. Its totient is φ = 23111001301008.

The previous prime is 23111001300769. The next prime is 23111001301027. The reversal of 23111001301009 is 90010310011132.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 21486006090000 + 1624995211009 = 4635300^2 + 1274753^2 .

It is a cyclic number.

It is not a de Polignac number, because 23111001301009 - 217 = 23111001169937 is a prime.

It is a super-2 number, since 2×231110013010092 (a number of 28 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (23111001301709) 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, 11555500650504 + 11555500650505.

It is an arithmetic number, because the mean of its divisors is an integer number (11555500650505).

Almost surely, 223111001301009 is an apocalyptic number.

It is an amenable number.

23111001301009 is a deficient number, since it is larger than the sum of its proper divisors (1).

23111001301009 is an equidigital number, since it uses as much as digits as its factorization.

23111001301009 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 162, while the sum is 22.

The spelling of 23111001301009 in words is "twenty-three trillion, one hundred eleven billion, one million, three hundred one thousand, nine".