Search a number
-
+
223256027325101 is a prime number
BaseRepresentation
bin110010110000110011011000…
…001100111110001010101101
31002021111001211101221112110112
4302300303120030332022231
5213230311320443400401
62110454223021145405
765011500324056621
oct6260633014761255
91067431741845415
10223256027325101
1165155393174921
122105861b9bb265
139775c50aa6a44
143d1b913c6d181
151ac26056b73bb
hexcb0cd833e2ad

223256027325101 has 2 divisors, whose sum is σ = 223256027325102. Its totient is φ = 223256027325100.

The previous prime is 223256027325059. The next prime is 223256027325173. The reversal of 223256027325101 is 101523720652322.

223256027325101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 186767783022601 + 36488244302500 = 13666301^2 + 6040550^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-223256027325101 is a prime.

It is a super-3 number, since 3×2232560273251013 (a number of 44 digits) contains 333 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (223256027321101) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 111628013662550 + 111628013662551.

It is an arithmetic number, because the mean of its divisors is an integer number (111628013662551).

Almost surely, 2223256027325101 is an apocalyptic number.

It is an amenable number.

223256027325101 is a deficient number, since it is larger than the sum of its proper divisors (1).

223256027325101 is an equidigital number, since it uses as much as digits as its factorization.

223256027325101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 302400, while the sum is 41.

Adding to 223256027325101 its reverse (101523720652322), we get a palindrome (324779747977423).

The spelling of 223256027325101 in words is "two hundred twenty-three trillion, two hundred fifty-six billion, twenty-seven million, three hundred twenty-five thousand, one hundred one".