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1312200022131 = 323713928349213
BaseRepresentation
bin10011000110000101001…
…101110101100001110011
311122110000110211210100200
4103012011031311201303
5132444341201202011
62442452200250243
7163542353104125
oct23060515654163
94573013753320
101312200022131
11466556781409
12192391170983
139698082334b
1447721993215
1524200006856
hex13185375873

1312200022131 has 24 divisors (see below), whose sum is σ = 1960631640240. Its totient is φ = 845033311296.

The previous prime is 1312200022103. The next prime is 1312200022139.

1312200022131 is a `hidden beast` number, since 1 + 312 + 200 + 0 + 22 + 131 = 666.

1312200022131 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 1312200022131 - 210 = 1312200021107 is a prime.

It is a super-2 number, since 2×13122000221312 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1312200022139) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14128320 + ... + 14220893.

It is an arithmetic number, because the mean of its divisors is an integer number (81692985010).

Almost surely, 21312200022131 is an apocalyptic number.

1312200022131 is a deficient number, since it is larger than the sum of its proper divisors (648431618109).

1312200022131 is a wasteful number, since it uses less digits than its factorization.

1312200022131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28349395 (or 28349392 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

It can be divided in two parts, 13122000 and 22131, that added together give a palindrome (13144131).

The spelling of 1312200022131 in words is "one trillion, three hundred twelve billion, two hundred million, twenty-two thousand, one hundred thirty-one".

Divisors: 1 3 9 37 111 139 333 417 1251 5143 15429 46287 28349213 85047639 255142917 1048920881 3146762643 3940540607 9440287929 11821621821 35464865463 145800002459 437400007377 1312200022131