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13220133122 = 2753731072281
BaseRepresentation
bin11000100111111101…
…10011100100000010
31021010100000100100002
430103332303210002
5204033323224442
610023453200002
7645415164110
oct142376634402
937110010302
1013220133122
115674469759
12268b490002
131328b87ba1
148d5aacab0
15525936732
hex313fb3902

13220133122 has 64 divisors (see below), whose sum is σ = 23636116224. Its totient is φ = 5429099520.

The previous prime is 13220133119. The next prime is 13220133137. The reversal of 13220133122 is 22133102231.

13220133122 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 13220133094 and 13220133103.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5794622 + ... + 5796902.

It is an arithmetic number, because the mean of its divisors is an integer number (369314316).

Almost surely, 213220133122 is an apocalyptic number.

13220133122 is a deficient number, since it is larger than the sum of its proper divisors (10415983102).

13220133122 is a wasteful number, since it uses less digits than its factorization.

13220133122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2523.

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 13220133122 its reverse (22133102231), we get a palindrome (35353235353).

The spelling of 13220133122 in words is "thirteen billion, two hundred twenty million, one hundred thirty-three thousand, one hundred twenty-two".

Divisors: 1 2 7 14 53 73 106 107 146 214 371 511 742 749 1022 1498 2281 3869 4562 5671 7738 7811 11342 15622 15967 27083 31934 39697 54166 54677 79394 109354 120893 166513 241786 244067 333026 413983 488134 827966 846251 1165591 1692502 1708469 2331182 2897881 3416938 5795762 8825189 12935551 17650378 17816891 25871102 35633782 61776323 90548857 123552646 124718237 181097714 249436474 944295223 1888590446 6610066561 13220133122