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231001322013221 is a prime number
BaseRepresentation
bin110100100001100000101111…
…101111011100001000100101
31010021220111210022100110202012
4310201200233233130020211
5220234211201413410341
62135144313050324005
766441203050466024
oct6441405757341045
91107814708313665
10231001322013221
11676711240a2401
1221aa972b429605
139bb843c83b4b6
144108748c288bb
151ba8d1b6bc0eb
hexd2182fbdc225

231001322013221 has 2 divisors, whose sum is σ = 231001322013222. Its totient is φ = 231001322013220.

The previous prime is 231001322013193. The next prime is 231001322013239. The reversal of 231001322013221 is 122310223100132.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 143723892480100 + 87277429533121 = 11988490^2 + 9342239^2 .

It is a cyclic number.

It is not a de Polignac number, because 231001322013221 - 222 = 231001317818917 is a prime.

It is a super-2 number, since 2×2310013220132212 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (231001328013221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 115500661006610 + 115500661006611.

It is an arithmetic number, because the mean of its divisors is an integer number (115500661006611).

Almost surely, 2231001322013221 is an apocalyptic number.

It is an amenable number.

231001322013221 is a deficient number, since it is larger than the sum of its proper divisors (1).

231001322013221 is an equidigital number, since it uses as much as digits as its factorization.

231001322013221 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 864, while the sum is 23.

Adding to 231001322013221 its reverse (122310223100132), we get a palindrome (353311545113353).

The spelling of 231001322013221 in words is "two hundred thirty-one trillion, one billion, three hundred twenty-two million, thirteen thousand, two hundred twenty-one".