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122231334409 is a prime number
BaseRepresentation
bin111000111010110001…
…1100010011000001001
3102200111111211010212121
41301311203202120021
54000312210200114
6132052521411241
711555002125352
oct1616543423011
9380444733777
10122231334409
1147924446748
121b833039b21
13b6ac56a1a2
145cb781cd29
1532a5d11a24
hex1c758e2609

122231334409 has 2 divisors, whose sum is σ = 122231334410. Its totient is φ = 122231334408.

The previous prime is 122231334397. The next prime is 122231334427. The reversal of 122231334409 is 904433132221.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 101715069184 + 20516265225 = 318928^2 + 143235^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-122231334409 is a prime.

It is a super-2 number, since 2×1222313344092 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (122231334469) 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, 61115667204 + 61115667205.

It is an arithmetic number, because the mean of its divisors is an integer number (61115667205).

Almost surely, 2122231334409 is an apocalyptic number.

It is an amenable number.

122231334409 is a deficient number, since it is larger than the sum of its proper divisors (1).

122231334409 is an equidigital number, since it uses as much as digits as its factorization.

122231334409 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 31104, while the sum is 34.

The spelling of 122231334409 in words is "one hundred twenty-two billion, two hundred thirty-one million, three hundred thirty-four thousand, four hundred nine".