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122505233 is a prime number
BaseRepresentation
bin1110100110101…
…00100000010001
322112111220120212
413103110200101
5222330131413
620053413505
73015164054
oct723244021
9275456525
10122505233
1163172aa4
123503a295
131c4c3306
14123aca9b
15ab4cca8
hex74d4811

122505233 has 2 divisors, whose sum is σ = 122505234. Its totient is φ = 122505232.

The previous prime is 122505203. The next prime is 122505239. The reversal of 122505233 is 332505221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 117765904 + 4739329 = 10852^2 + 2177^2 .

It is a cyclic number.

It is not a de Polignac number, because 122505233 - 210 = 122504209 is a prime.

It is a super-2 number, since 2×1225052332 = 30015064224768578, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 122505199 and 122505208.

It is not a weakly prime, because it can be changed into another prime (122505239) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61252616 + 61252617.

It is an arithmetic number, because the mean of its divisors is an integer number (61252617).

Almost surely, 2122505233 is an apocalyptic number.

It is an amenable number.

122505233 is a deficient number, since it is larger than the sum of its proper divisors (1).

122505233 is an equidigital number, since it uses as much as digits as its factorization.

122505233 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1800, while the sum is 23.

The square root of 122505233 is about 11068.2082109075. The cubic root of 122505233 is about 496.6512660320.

The spelling of 122505233 in words is "one hundred twenty-two million, five hundred five thousand, two hundred thirty-three".