Search a number
-
+
23201013314117 is a prime number
BaseRepresentation
bin1010100011001111010000…
…01010000011001001000101
310001010222212111202011020202
411101213220022003021011
511020111133402022432
6121202222014340245
74613134511165402
oct521475012031105
9101128774664222
1023201013314117
1174355491918a1
1227286184ba685
13cc3b00052152
145a2d13a4b2a9
152a37a19b0462
hex1519e8283245

23201013314117 has 2 divisors, whose sum is σ = 23201013314118. Its totient is φ = 23201013314116.

The previous prime is 23201013313999. The next prime is 23201013314147. The reversal of 23201013314117 is 71141331010232.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 17208965360161 + 5992047953956 = 4148369^2 + 2447866^2 .

It is a cyclic number.

It is not a de Polignac number, because 23201013314117 - 28 = 23201013313861 is a prime.

It is a super-2 number, since 2×232010133141172 (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 23201013314117.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (23201013314147) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11600506657058 + 11600506657059.

It is an arithmetic number, because the mean of its divisors is an integer number (11600506657059).

Almost surely, 223201013314117 is an apocalyptic number.

It is an amenable number.

23201013314117 is a deficient number, since it is larger than the sum of its proper divisors (1).

23201013314117 is an equidigital number, since it uses as much as digits as its factorization.

23201013314117 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3024, while the sum is 29.

Adding to 23201013314117 its reverse (71141331010232), we get a palindrome (94342344324349).

The spelling of 23201013314117 in words is "twenty-three trillion, two hundred one billion, thirteen million, three hundred fourteen thousand, one hundred seventeen".