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13022322223131 = 3213353315302831
BaseRepresentation
bin1011110101111111111011…
…1000111110100000011011
31201002220220000200221210100
42331133332320332200123
53201324203442120011
643410212223150443
72512555166355204
oct275377670764033
951086800627710
1013022322223131
114170810449391
121563991445423
13735ccc4b9480
143303d88c25ab
15178b19213d56
hexbd7fee3e81b

13022322223131 has 24 divisors (see below), whose sum is σ = 20314330860096. Its totient is φ = 7991034923520.

The previous prime is 13022322223067. The next prime is 13022322223133. The reversal of 13022322223131 is 13132222322031.

13022322223131 is a `hidden beast` number, since 1 + 3 + 0 + 2 + 2 + 322 + 22 + 313 + 1 = 666.

It is not a de Polignac number, because 13022322223131 - 26 = 13022322223067 is a prime.

It is a super-2 number, since 2×130223222231312 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13022322223095 and 13022322223104.

It is not an unprimeable number, because it can be changed into a prime (13022322223133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 157610115 + ... + 157692716.

It is an arithmetic number, because the mean of its divisors is an integer number (846430452504).

Almost surely, 213022322223131 is an apocalyptic number.

13022322223131 is a deficient number, since it is larger than the sum of its proper divisors (7292008636965).

13022322223131 is a wasteful number, since it uses less digits than its factorization.

13022322223131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315303203 (or 315303200 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 13022322223131 its reverse (13132222322031), we get a palindrome (26154544545162).

The spelling of 13022322223131 in words is "thirteen trillion, twenty-two billion, three hundred twenty-two million, two hundred twenty-three thousand, one hundred thirty-one".

Divisors: 1 3 9 13 39 117 353 1059 3177 4589 13767 41301 315302831 945908493 2837725479 4098936803 12296810409 36890431227 111301899343 333905698029 1001717094087 1446924691459 4340774074377 13022322223131