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13022232230331 = 321931749308489
BaseRepresentation
bin1011110101111111100110…
…0001101011100110111011
31201002220122202100211212200
42331133321201223212323
53201324012422332311
643410155250241243
72512553024422422
oct275377141534673
951086582324780
1013022232230331
114170774672475
121563967286223
13735cb696a8ac
143303ca9782b9
15178b11389556
hexbd7f986b9bb

13022232230331 has 12 divisors (see below), whose sum is σ = 18819632034840. Its totient is φ = 8676992291040.

The previous prime is 13022232230327. The next prime is 13022232230333. The reversal of 13022232230331 is 13303223222031.

13022232230331 is a `hidden beast` number, since 1 + 3 + 0 + 2 + 2 + 2 + 322 + 3 + 0 + 331 = 666.

It is not a de Polignac number, because 13022232230331 - 22 = 13022232230327 is a prime.

It is a super-2 number, since 2×130222322303312 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13022232230295 and 13022232230304.

It is not an unprimeable number, because it can be changed into a prime (13022232230333) 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 11 ways as a sum of consecutive naturals, for example, 374636866 + ... + 374671623.

It is an arithmetic number, because the mean of its divisors is an integer number (1568302669570).

Almost surely, 213022232230331 is an apocalyptic number.

13022232230331 is a deficient number, since it is larger than the sum of its proper divisors (5797399804509).

13022232230331 is a wasteful number, since it uses less digits than its factorization.

13022232230331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 749310426 (or 749310423 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 13022232230331 its reverse (13303223222031), we get a palindrome (26325455452362).

The spelling of 13022232230331 in words is "thirteen trillion, twenty-two billion, two hundred thirty-two million, two hundred thirty thousand, three hundred thirty-one".

Divisors: 1 3 9 1931 5793 17379 749308489 2247925467 6743776401 1446914692259 4340744076777 13022232230331