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12220133002131 = 3191831117088093
BaseRepresentation
bin1011000111010011100010…
…1011111100101110010011
31121021020022002011021011110
42301310320223330232103
53100203313022032011
641553503540144403
72400606200446515
oct261647053745623
947236262137143
1012220133002131
11399159055753a
121454415998103
136a8479b13772
143036598c7bb5
15162d18b33ba6
hexb1d38afcb93

12220133002131 has 16 divisors (see below), whose sum is σ = 17160431056640. Its totient is φ = 7713763500960.

The previous prime is 12220133002117. The next prime is 12220133002153. The reversal of 12220133002131 is 13120033102221.

It is not a de Polignac number, because 12220133002131 - 29 = 12220133001619 is a prime.

It is a super-2 number, since 2×122201330021312 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12220133002098 and 12220133002107.

It is not an unprimeable number, because it can be changed into a prime (12220133002111) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 58439680 + ... + 58648413.

It is an arithmetic number, because the mean of its divisors is an integer number (1072526941040).

Almost surely, 212220133002131 is an apocalyptic number.

12220133002131 is a deficient number, since it is larger than the sum of its proper divisors (4940298054509).

12220133002131 is a wasteful number, since it uses less digits than its factorization.

12220133002131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117089946.

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 12220133002131 its reverse (13120033102221), we get a palindrome (25340166104352).

The spelling of 12220133002131 in words is "twelve trillion, two hundred twenty billion, one hundred thirty-three million, two thousand, one hundred thirty-one".

Divisors: 1 3 19 57 1831 5493 34789 104367 117088093 351264279 2224673767 6674021301 214388298283 643164894849 4073377667377 12220133002131