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12131302221 = 32173716313147
BaseRepresentation
bin10110100110001010…
…01111101101001101
31011022110012000010200
423103011033231031
5144321103132341
65323435524113
7606424240023
oct132305175515
934273160120
1012131302221
115165892a05
1224268b9639
1311b4417c4c
1483123a713
154b0059db6
hex2d314fb4d

12131302221 has 48 divisors (see below), whose sum is σ = 19173570624. Its totient is φ = 7360077312.

The previous prime is 12131302219. The next prime is 12131302223. The reversal of 12131302221 is 12220313121.

12131302221 is a `hidden beast` number, since 12 + 131 + 302 + 221 = 666.

It is an interprime number because it is at equal distance from previous prime (12131302219) and next prime (12131302223).

It is not a de Polignac number, because 12131302221 - 21 = 12131302219 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12131302194 and 12131302203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12131302223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 916170 + ... + 929316.

It is an arithmetic number, because the mean of its divisors is an integer number (399449388).

Almost surely, 212131302221 is an apocalyptic number.

It is an amenable number.

12131302221 is a deficient number, since it is larger than the sum of its proper divisors (7042268403).

12131302221 is a wasteful number, since it uses less digits than its factorization.

12131302221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13370 (or 13367 counting only the distinct ones).

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

Adding to 12131302221 its reverse (12220313121), we get a palindrome (24351615342).

The spelling of 12131302221 in words is "twelve billion, one hundred thirty-one million, three hundred two thousand, two hundred twenty-one".

Divisors: 1 3 9 17 37 51 111 153 163 333 489 629 1467 1887 2771 5661 6031 8313 13147 18093 24939 39441 54279 102527 118323 223499 307581 486439 670497 922743 1459317 2011491 2142961 4377951 6428883 8269463 19286649 24808389 36430337 74425167 79289557 109291011 237868671 327873033 713606013 1347922469 4043767407 12131302221