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122663336013 = 352274095437
BaseRepresentation
bin111001000111101001…
…1011111100001001101
3102201121121201002200000
41302033103133201031
54002203303223023
6132203432554513
711601466103301
oct1621723374115
9381547632600
10122663336013
1148026289969
121b933852a39
13b74ac0483a
145d18d53d01
1532cdbe7243
hex1c8f4df84d

122663336013 has 48 divisors (see below), whose sum is σ = 185037303360. Its totient is φ = 81201315456.

The previous prime is 122663335997. The next prime is 122663336023. The reversal of 122663336013 is 310633366221.

122663336013 is a `hidden beast` number, since 1 + 2 + 2 + 6 + 633 + 3 + 6 + 0 + 13 = 666.

It is not a de Polignac number, because 122663336013 - 24 = 122663335997 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122663336023) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22558131 + ... + 22563567.

It is an arithmetic number, because the mean of its divisors is an integer number (3854943820).

Almost surely, 2122663336013 is an apocalyptic number.

It is an amenable number.

122663336013 is a deficient number, since it is larger than the sum of its proper divisors (62373967347).

122663336013 is an equidigital number, since it uses as much as digits as its factorization.

122663336013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6088 (or 6076 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 36.

The spelling of 122663336013 in words is "one hundred twenty-two billion, six hundred sixty-three million, three hundred thirty-six thousand, thirteen".

Divisors: 1 3 9 27 81 227 243 409 681 1227 2043 3681 5437 6129 11043 16311 18387 33129 48933 55161 92843 99387 146799 278529 440397 835587 1234199 1321191 2223733 2506761 3702597 6671199 7520283 11107791 20013597 22560849 33323373 60040791 99970119 180122373 299910357 504787391 540367119 1514362173 4543086519 13629259557 40887778671 122663336013