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223137045257327 is a prime number
BaseRepresentation
bin110010101111000100100100…
…010100011001110001101111
31002021001200201100012020110122
4302233010210110121301233
5213221334132041213302
62110323424330355155
765000055665142635
oct6257044424316157
91067050640166418
10223137045257327
1165109986971303
1221039554b8babb
13976796b767a46
143d15c67bc1355
151abe48ec863a2
hexcaf124519c6f

223137045257327 has 2 divisors, whose sum is σ = 223137045257328. Its totient is φ = 223137045257326.

The previous prime is 223137045257267. The next prime is 223137045257363. The reversal of 223137045257327 is 723752540731322.

223137045257327 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 223137045257327 - 212 = 223137045253231 is a prime.

It is a super-3 number, since 3×2231370452573273 (a number of 44 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (223137045257227) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 111568522628663 + 111568522628664.

It is an arithmetic number, because the mean of its divisors is an integer number (111568522628664).

Almost surely, 2223137045257327 is an apocalyptic number.

223137045257327 is a deficient number, since it is larger than the sum of its proper divisors (1).

223137045257327 is an equidigital number, since it uses as much as digits as its factorization.

223137045257327 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 14817600, while the sum is 53.

Adding to 223137045257327 its reverse (723752540731322), we get a palindrome (946889585988649).

The spelling of 223137045257327 in words is "two hundred twenty-three trillion, one hundred thirty-seven billion, forty-five million, two hundred fifty-seven thousand, three hundred twenty-seven".