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122210010233 is a prime number
BaseRepresentation
bin111000111010001001…
…0001100010001111001
3102200110000200202121022
41301310102030101321
54000241230311413
6132050440352225
711554322642633
oct1616422142171
9380400622538
10122210010233
1147913401563
121b827a75675
13b6a801212c
145cb4a6ba53
1532a3eed608
hex1c7448c479

122210010233 has 2 divisors, whose sum is σ = 122210010234. Its totient is φ = 122210010232.

The previous prime is 122210010199. The next prime is 122210010271. The reversal of 122210010233 is 332010012221.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 68732060224 + 53477950009 = 262168^2 + 231253^2 .

It is a cyclic number.

It is not a de Polignac number, because 122210010233 - 210 = 122210009209 is a prime.

It is a super-2 number, since 2×1222100102332 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (122210010133) 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, 61105005116 + 61105005117.

It is an arithmetic number, because the mean of its divisors is an integer number (61105005117).

Almost surely, 2122210010233 is an apocalyptic number.

It is an amenable number.

122210010233 is a deficient number, since it is larger than the sum of its proper divisors (1).

122210010233 is an equidigital number, since it uses as much as digits as its factorization.

122210010233 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 122210010233 its reverse (332010012221), we get a palindrome (454220022454).

The spelling of 122210010233 in words is "one hundred twenty-two billion, two hundred ten million, ten thousand, two hundred thirty-three".