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122535221 is a prime number
BaseRepresentation
bin1110100110110…
…11110100110101
322112120102201112
413103123310311
5222332111341
620054204405
73015350354
oct723336465
9275512645
10122535221
1163193586
1235053705
131c503b63
14123b999b
15ab56aeb
hex74dbd35

122535221 has 2 divisors, whose sum is σ = 122535222. Its totient is φ = 122535220.

The previous prime is 122535211. The next prime is 122535229.

122535221 is nontrivially palindromic in base 10.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 117180625 + 5354596 = 10825^2 + 2314^2 .

It is a palprime.

It is a cyclic number.

It is not a de Polignac number, because 122535221 - 222 = 118340917 is a prime.

It is a Sophie Germain prime.

It is a Chen prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (122535229) 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, 61267610 + 61267611.

It is an arithmetic number, because the mean of its divisors is an integer number (61267611).

Almost surely, 2122535221 is an apocalyptic number.

It is an amenable number.

122535221 is a deficient number, since it is larger than the sum of its proper divisors (1).

122535221 is an equidigital number, since it uses as much as digits as its factorization.

122535221 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1200, while the sum is 23.

The square root of 122535221 is about 11069.5628188289. The cubic root of 122535221 is about 496.6917877379.

The spelling of 122535221 in words is "one hundred twenty-two million, five hundred thirty-five thousand, two hundred twenty-one".