Search a number
-
+
223114100033329 is a prime number
BaseRepresentation
bin110010101110101111001100…
…101011010100011100110001
31002020222111111020201002102121
4302232233030223110130301
5213221000134102031304
62110305111430514241
764665314251022101
oct6256571453243461
91066874436632377
10223114100033329
116510018199496a
1221035010805981
139765752b46b1b
143d14acc6b1201
151abda9a696554
hexcaebccad4731

223114100033329 has 2 divisors, whose sum is σ = 223114100033330. Its totient is φ = 223114100033328.

The previous prime is 223114100033327. The next prime is 223114100033353. The reversal of 223114100033329 is 923330001411322.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 197078134556304 + 26035965477025 = 14038452^2 + 5102545^2 .

It is a cyclic number.

It is not a de Polignac number, because 223114100033329 - 21 = 223114100033327 is a prime.

It is a super-3 number, since 3×2231141000333293 (a number of 44 digits) contains 333 as substring.

Together with 223114100033327, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 223114100033294 and 223114100033303.

It is not a weakly prime, because it can be changed into another prime (223114100033327) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 111557050016664 + 111557050016665.

It is an arithmetic number, because the mean of its divisors is an integer number (111557050016665).

Almost surely, 2223114100033329 is an apocalyptic number.

It is an amenable number.

223114100033329 is a deficient number, since it is larger than the sum of its proper divisors (1).

223114100033329 is an equidigital number, since it uses as much as digits as its factorization.

223114100033329 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 23328, while the sum is 34.

The spelling of 223114100033329 in words is "two hundred twenty-three trillion, one hundred fourteen billion, one hundred million, thirty-three thousand, three hundred twenty-nine".