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122232323232221 is a prime number
BaseRepresentation
bin11011110010101101101110…
…001101001101000111011101
3121000210021222202202220020212
4123302231232031031013131
5112010123244221412341
61111544430515022205
734513664626446656
oct3362555615150735
9530707882686225
10122232323232221
1135a46489968a54
121186153989a965
1353285c6792b07
14222810c80452d
15e1e8236415eb
hex6f2b6e34d1dd

122232323232221 has 2 divisors, whose sum is σ = 122232323232222. Its totient is φ = 122232323232220.

The previous prime is 122232323232179. The next prime is 122232323232233.

122232323232221 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., 78977880302500 + 43254442929721 = 8886950^2 + 6576811^2 .

It is a palprime.

It is a cyclic number.

It is not a de Polignac number, because 122232323232221 - 214 = 122232323215837 is a prime.

It is a super-2 number, since 2×1222323232322212 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (122232323262221) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61116161616110 + 61116161616111.

It is an arithmetic number, because the mean of its divisors is an integer number (61116161616111).

Almost surely, 2122232323232221 is an apocalyptic number.

It is an amenable number.

122232323232221 is a deficient number, since it is larger than the sum of its proper divisors (1).

122232323232221 is an equidigital number, since it uses as much as digits as its factorization.

122232323232221 is an evil number, because the sum of its binary digits is even.

The product of its digits is 41472, while the sum is 32.

The spelling of 122232323232221 in words is "one hundred twenty-two trillion, two hundred thirty-two billion, three hundred twenty-three million, two hundred thirty-two thousand, two hundred twenty-one".