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122373221 is a prime number
BaseRepresentation
bin1110100101101…
…00010001100101
322112021012111112
413102310101211
5222311420341
620050514405
73014104145
oct722642145
9275235445
10122373221
11630928a3
1234b95a05
131c4781b9
1412376925
15ab23aeb
hex74b4465

122373221 has 2 divisors, whose sum is σ = 122373222. Its totient is φ = 122373220.

The previous prime is 122373217. The next prime is 122373239.

122373221 is nontrivially palindromic in base 10.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 105472900 + 16900321 = 10270^2 + 4111^2 .

It is a palprime.

It is a cyclic number.

It is not a de Polignac number, because 122373221 - 22 = 122373217 is a prime.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (122373241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61186610 + 61186611.

It is an arithmetic number, because the mean of its divisors is an integer number (61186611).

Almost surely, 2122373221 is an apocalyptic number.

It is an amenable number.

122373221 is a deficient number, since it is larger than the sum of its proper divisors (1).

122373221 is an equidigital number, since it uses as much as digits as its factorization.

122373221 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1008, while the sum is 23.

The square root of 122373221 is about 11062.2430365636. The cubic root of 122373221 is about 496.4728042905.

The spelling of 122373221 in words is "one hundred twenty-two million, three hundred seventy-three thousand, two hundred twenty-one".