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230022122001201 = 32136118778849049
BaseRepresentation
bin110100010011010000110010…
…110111110101001100110001
31010011102220022011202220201100
4310103100302313311030301
5220122140301213014301
62133114412023555013
766310356420640245
oct6423206267651461
91104386264686640
10230022122001201
116732391a229322
122196b9b32bba69
139b46cba8c7b6a
1440b31b702c425
151b8d60b045286
hexd13432df5331

230022122001201 has 12 divisors (see below), whose sum is σ = 332498301279300. Its totient is φ = 153235408231680.

The previous prime is 230022122001173. The next prime is 230022122001209. The reversal of 230022122001201 is 102100221220032.

230022122001201 is a `hidden beast` number, since 2 + 300 + 2 + 21 + 220 + 0 + 120 + 1 = 666.

230022122001201 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 76947720840225 + 153074401160976 = 8771985^2 + 12372324^2 .

It is not a de Polignac number, because 230022122001201 - 215 = 230022121968433 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (230022122001209) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9389412276 + ... + 9389436773.

It is an arithmetic number, because the mean of its divisors is an integer number (27708191773275).

Almost surely, 2230022122001201 is an apocalyptic number.

It is an amenable number.

230022122001201 is a deficient number, since it is larger than the sum of its proper divisors (102476179278099).

230022122001201 is a wasteful number, since it uses less digits than its factorization.

230022122001201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18778850416 (or 18778850413 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 230022122001201 its reverse (102100221220032), we get a palindrome (332122343221233).

The spelling of 230022122001201 in words is "two hundred thirty trillion, twenty-two billion, one hundred twenty-two million, one thousand, two hundred one".

Divisors: 1 3 9 1361 4083 12249 18778849049 56336547147 169009641441 25558013555689 76674040667067 230022122001201