Search a number
-
+
223123007938297 is a prime number
BaseRepresentation
bin110010101110110111011111…
…101000010001111011111001
31002021000100111001111112210211
4302232313133220101323321
5213221121410013011142
62110313143402111121
764666051064663365
oct6256673750217371
91067010431445724
10223123007938297
1165103a331a37a5
1221036897aab4a1
1397665424c06cc
143d152d57922a5
151abde1c730917
hexcaeddfa11ef9

223123007938297 has 2 divisors, whose sum is σ = 223123007938298. Its totient is φ = 223123007938296.

The previous prime is 223123007938273. The next prime is 223123007938309. The reversal of 223123007938297 is 792839700321322.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 148445567262976 + 74677440675321 = 12183824^2 + 8641611^2 .

It is a cyclic number.

It is not a de Polignac number, because 223123007938297 - 215 = 223123007905529 is a prime.

It is a super-3 number, since 3×2231230079382973 (a number of 44 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (223123001938297) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 111561503969148 + 111561503969149.

It is an arithmetic number, because the mean of its divisors is an integer number (111561503969149).

Almost surely, 2223123007938297 is an apocalyptic number.

It is an amenable number.

223123007938297 is a deficient number, since it is larger than the sum of its proper divisors (1).

223123007938297 is an equidigital number, since it uses as much as digits as its factorization.

223123007938297 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 13716864, while the sum is 58.

The spelling of 223123007938297 in words is "two hundred twenty-three trillion, one hundred twenty-three billion, seven million, nine hundred thirty-eight thousand, two hundred ninety-seven".