Search a number
-
+
223114327030313 is a prime number
BaseRepresentation
bin110010101110101111011010…
…001101001111101000101001
31002020222112002001211201202022
4302232233122031033220221
5213221001120204432223
62110305150140114225
764665323005326635
oct6256573215175051
91066875061751668
10223114327030313
1165100289037084
1221035074835975
13976578ab94274
143d14b108bddc5
151abdab0584ac8
hexcaebda34fa29

223114327030313 has 2 divisors, whose sum is σ = 223114327030314. Its totient is φ = 223114327030312.

The previous prime is 223114327030307. The next prime is 223114327030363. The reversal of 223114327030313 is 313030723411322.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 217902384141289 + 5211942889024 = 14761517^2 + 2282968^2 .

It is a cyclic number.

It is not a de Polignac number, because 223114327030313 - 28 = 223114327030057 is a prime.

It is a super-3 number, since 3×2231143270303133 (a number of 44 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (223114327030363) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 111557163515156 + 111557163515157.

It is an arithmetic number, because the mean of its divisors is an integer number (111557163515157).

Almost surely, 2223114327030313 is an apocalyptic number.

It is an amenable number.

223114327030313 is a deficient number, since it is larger than the sum of its proper divisors (1).

223114327030313 is an equidigital number, since it uses as much as digits as its factorization.

223114327030313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 54432, while the sum is 35.

The spelling of 223114327030313 in words is "two hundred twenty-three trillion, one hundred fourteen billion, three hundred twenty-seven million, thirty thousand, three hundred thirteen".