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222330001100113 is a prime number
BaseRepresentation
bin110010100011010100111100…
…101111010000110101010001
31002011012112121001020020101101
4302203110330233100311101
5213120123320240200423
62104504554213304401
764554545455040254
oct6243247457206521
91064175531206341
10222330001100113
1164928695542a85
1220b29063635101
1397098242c460a
143cc8b880c709b
151aa84a83567ad
hexca353cbd0d51

222330001100113 has 2 divisors, whose sum is σ = 222330001100114. Its totient is φ = 222330001100112.

The previous prime is 222330001100003. The next prime is 222330001100203. The reversal of 222330001100113 is 311001100033222.

222330001100113 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 can be written as a sum of positive squares in only one way, i.e., 183792872622529 + 38537128477584 = 13557023^2 + 6207828^2 .

It is a cyclic number.

It is not a de Polignac number, because 222330001100113 - 29 = 222330001099601 is a prime.

It is a super-2 number, since 2×2223300011001132 (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (222330001100213) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 111165000550056 + 111165000550057.

It is an arithmetic number, because the mean of its divisors is an integer number (111165000550057).

Almost surely, 2222330001100113 is an apocalyptic number.

It is an amenable number.

222330001100113 is a deficient number, since it is larger than the sum of its proper divisors (1).

222330001100113 is an equidigital number, since it uses as much as digits as its factorization.

222330001100113 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 222330001100113 its reverse (311001100033222), we get a palindrome (533331101133335).

The spelling of 222330001100113 in words is "two hundred twenty-two trillion, three hundred thirty billion, one million, one hundred thousand, one hundred thirteen".