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231122312200081 is a prime number
BaseRepresentation
bin110100100011010001011011…
…010100010111111110010001
31010022100002002022201210021001
4310203101123110113332101
5220243201443410400311
62135320042514102001
766453015232221421
oct6443213324277621
91108302068653231
10231122312200081
1167708470988575
1221b0907687a901
139bc6981c08243
144110545886481
151bac04d5664c1
hexd2345b517f91

231122312200081 has 2 divisors, whose sum is σ = 231122312200082. Its totient is φ = 231122312200080.

The previous prime is 231122312200019. The next prime is 231122312200103. The reversal of 231122312200081 is 180002213221132.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 228978664825681 + 2143647374400 = 15132041^2 + 1464120^2 .

It is a cyclic number.

It is not a de Polignac number, because 231122312200081 - 219 = 231122311675793 is a prime.

It is a super-2 number, since 2×2311223122000812 (a number of 30 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (231122312200001) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 115561156100040 + 115561156100041.

It is an arithmetic number, because the mean of its divisors is an integer number (115561156100041).

Almost surely, 2231122312200081 is an apocalyptic number.

It is an amenable number.

231122312200081 is a deficient number, since it is larger than the sum of its proper divisors (1).

231122312200081 is an equidigital number, since it uses as much as digits as its factorization.

231122312200081 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2304, while the sum is 28.

The spelling of 231122312200081 in words is "two hundred thirty-one trillion, one hundred twenty-two billion, three hundred twelve million, two hundred thousand, eighty-one".