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12311031321 = 341719944927
BaseRepresentation
bin10110111011100101…
…10110111000011001
31011202222101012010000
423131302312320121
5200203111000241
65353340043213
7614036016411
oct133562667031
934688335100
1012311031321
115248290056
122476b33509
131212725724
1484b063641
154c0c0ceb6
hex2ddcb6e19

12311031321 has 40 divisors (see below), whose sum is σ = 19570636800. Its totient is φ = 7685580672.

The previous prime is 12311031307. The next prime is 12311031331. The reversal of 12311031321 is 12313011321.

12311031321 is a `hidden beast` number, since 1 + 2 + 311 + 0 + 31 + 321 = 666.

It is not a de Polignac number, because 12311031321 - 213 = 12311023129 is a prime.

It is a super-2 number, since 2×123110313212 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12311031294 and 12311031303.

It is not an unprimeable number, because it can be changed into a prime (12311031331) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 251560 + ... + 296486.

It is an arithmetic number, because the mean of its divisors is an integer number (489265920).

Almost surely, 212311031321 is an apocalyptic number.

It is an amenable number.

12311031321 is a deficient number, since it is larger than the sum of its proper divisors (7259605479).

12311031321 is a wasteful number, since it uses less digits than its factorization.

12311031321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45155 (or 45146 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 12311031321 its reverse (12313011321), we get a palindrome (24624042642).

The spelling of 12311031321 in words is "twelve billion, three hundred eleven million, thirty-one thousand, three hundred twenty-one".

Divisors: 1 3 9 17 27 51 81 153 199 459 597 1377 1791 3383 5373 10149 16119 30447 44927 91341 134781 274023 404343 763759 1213029 2291277 3639087 6873831 8940473 20621493 26821419 61864479 80464257 151988041 241392771 455964123 724178313 1367892369 4103677107 12311031321