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122338227681 = 321011139311813
BaseRepresentation
bin111000111101111101…
…1010011010111100001
3102200202221221212212200
41301323323103113201
54001022041241211
6132111300443413
711560440530505
oct1617373232741
9380687855780
10122338227681
114797981619a
121b8629a9569
13b6c8755447
145cc7ac6305
1532b03c8b56
hex1c7bed35e1

122338227681 has 24 divisors (see below), whose sum is σ = 178491157416. Its totient is φ = 80737382400.

The previous prime is 122338227667. The next prime is 122338227703. The reversal of 122338227681 is 186722833221.

122338227681 is a `hidden beast` number, since 1 + 223 + 3 + 82 + 276 + 81 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 57881142225 + 64457085456 = 240585^2 + 253884^2 .

It is not a de Polignac number, because 122338227681 - 27 = 122338227553 is a prime.

It is a super-2 number, since 2×1223382276812 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (122338227581) 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 in 23 ways as a sum of consecutive naturals, for example, 10350331 + ... + 10362143.

It is an arithmetic number, because the mean of its divisors is an integer number (7437131559).

Almost surely, 2122338227681 is an apocalyptic number.

It is an amenable number.

122338227681 is a deficient number, since it is larger than the sum of its proper divisors (56152929735).

122338227681 is a wasteful number, since it uses less digits than its factorization.

122338227681 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23313 (or 23310 counting only the distinct ones).

The product of its digits is 387072, while the sum is 45.

The spelling of 122338227681 in words is "one hundred twenty-two billion, three hundred thirty-eight million, two hundred twenty-seven thousand, six hundred eighty-one".

Divisors: 1 3 9 101 303 909 11393 11813 34179 35439 102537 106317 1150693 1193113 3452079 3579339 10356237 10738017 134585509 403756527 1211269581 13593136409 40779409227 122338227681