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113221223317 is a prime number
BaseRepresentation
bin110100101110010000…
…0101100001110010101
3101211020120201002001101
41221130200230032111
53323334113121232
6124002455430101
711115504343036
oct1513440541625
9354216632041
10113221223317
1144020479944
1219b39685331
13a8a49898c7
1456a0d34a8d
152e29cd91e7
hex1a5c82c395

113221223317 has 2 divisors, whose sum is σ = 113221223318. Its totient is φ = 113221223316.

The previous prime is 113221223267. The next prime is 113221223327. The reversal of 113221223317 is 713322122311.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 82836898596 + 30384324721 = 287814^2 + 174311^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-113221223317 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (113221223327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 56610611658 + 56610611659.

It is an arithmetic number, because the mean of its divisors is an integer number (56610611659).

Almost surely, 2113221223317 is an apocalyptic number.

It is an amenable number.

113221223317 is a deficient number, since it is larger than the sum of its proper divisors (1).

113221223317 is an equidigital number, since it uses as much as digits as its factorization.

113221223317 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 3024, while the sum is 28.

Adding to 113221223317 its reverse (713322122311), we get a palindrome (826543345628).

It can be divided in two parts, 1132 and 21223317, that added together give a square (21224449 = 46072).

The spelling of 113221223317 in words is "one hundred thirteen billion, two hundred twenty-one million, two hundred twenty-three thousand, three hundred seventeen".