Search a number
-
+
223115134767817 is a prime number
BaseRepresentation
bin110010101110110000001010…
…010110100001001011001001
31002020222121011100202001022011
4302232300022112201023021
5213221004244000032232
62110305402232455521
764665352014100525
oct6256601226411311
91066877140661264
10223115134767817
1165100662a82236
122103525b24a5a1
139765889325c56
143d14b89ca0d85
151abdb0b439547
hexcaec0a5a12c9

223115134767817 has 2 divisors, whose sum is σ = 223115134767818. Its totient is φ = 223115134767816.

The previous prime is 223115134767787. The next prime is 223115134767839. The reversal of 223115134767817 is 718767431511322.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 217048883991241 + 6066250776576 = 14732579^2 + 2462976^2 .

It is a cyclic number.

It is not a de Polignac number, because 223115134767817 - 227 = 223115000550089 is a prime.

It is a super-3 number, since 3×2231151347678173 (a number of 44 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 (223115134767857) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 111557567383908 + 111557567383909.

It is an arithmetic number, because the mean of its divisors is an integer number (111557567383909).

Almost surely, 2223115134767817 is an apocalyptic number.

It is an amenable number.

223115134767817 is a deficient number, since it is larger than the sum of its proper divisors (1).

223115134767817 is an equidigital number, since it uses as much as digits as its factorization.

223115134767817 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 11854080, while the sum is 58.

The spelling of 223115134767817 in words is "two hundred twenty-three trillion, one hundred fifteen billion, one hundred thirty-four million, seven hundred sixty-seven thousand, eight hundred seventeen".