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223200301111313 is a prime number
BaseRepresentation
bin110010101111111111011110…
…101010010101100000010001
31002021021201222202020120020112
4302233333132222111200101
5213223403204041030223
62110412445223051105
765004455351056211
oct6257773652254021
91067251882216215
10223200301111313
1165133797180689
12210498692a0a95
13977090c8bb546
143d18d48c3c241
151ac0e4326b778
hexcaffdea95811

223200301111313 has 2 divisors, whose sum is σ = 223200301111314. Its totient is φ = 223200301111312.

The previous prime is 223200301111253. The next prime is 223200301111331. The reversal of 223200301111313 is 313111103002322.

Together with next prime (223200301111331) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 170123422800769 + 53076878310544 = 13043137^2 + 7285388^2 .

It is a cyclic number.

It is not a de Polignac number, because 223200301111313 - 214 = 223200301094929 is a prime.

It is a super-3 number, since 3×2232003011113133 (a number of 44 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (223200301111373) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 111600150555656 + 111600150555657.

It is an arithmetic number, because the mean of its divisors is an integer number (111600150555657).

Almost surely, 2223200301111313 is an apocalyptic number.

It is an amenable number.

223200301111313 is a deficient number, since it is larger than the sum of its proper divisors (1).

223200301111313 is an equidigital number, since it uses as much as digits as its factorization.

223200301111313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 648, while the sum is 23.

Adding to 223200301111313 its reverse (313111103002322), we get a palindrome (536311404113635).

The spelling of 223200301111313 in words is "two hundred twenty-three trillion, two hundred billion, three hundred one million, one hundred eleven thousand, three hundred thirteen".