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12313102221225 = 3252132673481153
BaseRepresentation
bin1011001100101101111000…
…0101010111111110101001
31121121010021021010221011100
42303023132011113332221
53103214213132034400
642104321105152013
72410410102665511
oct263133605277651
947533237127140
1012313102221225
113a17a59224903
12146a44102b609
136b4174b30a00
14307d58c98841
1516545a9c4100
hexb32de157fa9

12313102221225 has 108 divisors (see below), whose sum is σ = 23916638157204. Its totient is φ = 6052815175680.

The previous prime is 12313102221187. The next prime is 12313102221269. The reversal of 12313102221225 is 52212220131321.

12313102221225 is a `hidden beast` number, since 1 + 2 + 3 + 1 + 310 + 222 + 122 + 5 = 666.

It can be written as a sum of positive squares in 18 ways, for example, as 11147298305049 + 1165803916176 = 3338757^2 + 1079724^2 .

It is not a de Polignac number, because 12313102221225 - 213 = 12313102213033 is a prime.

It is a super-2 number, since 2×123131022212252 (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 25350249 + ... + 25831401.

Almost surely, 212313102221225 is an apocalyptic number.

12313102221225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

12313102221225 is a deficient number, since it is larger than the sum of its proper divisors (11603535935979).

12313102221225 is a wasteful number, since it uses less digits than its factorization.

12313102221225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 481868 (or 481847 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 12313102221225 its reverse (52212220131321), we get a palindrome (64525322352546).

The spelling of 12313102221225 in words is "twelve trillion, three hundred thirteen billion, one hundred two million, two hundred twenty-one thousand, two hundred twenty-five".

Divisors: 1 3 5 9 13 15 25 39 45 65 75 117 169 195 225 325 507 585 673 845 975 1521 2019 2535 2925 3365 4225 6057 7605 8749 10095 12675 16825 26247 30285 38025 43745 50475 78741 113737 131235 151425 218725 341211 393705 481153 568685 656175 1023633 1443459 1706055 1968525 2405765 2843425 4330377 5118165 6254989 7217295 8530275 12028825 18764967 21651885 25590825 31274945 36086475 56294901 81314857 93824835 108259425 156374725 243944571 281474505 323815969 406574285 469124175 731833713 971447907 1219722855 1407372525 1619079845 2032871425 2914343721 3659168565 4209607597 4857239535 6098614275 8095399225 12628822791 14571718605 18295842825 21048037985 24286197675 37886468373 54724898761 63144113955 72858593025 105240189925 164174696283 189432341865 273624493805 315720569775 492524088849 820873481415 947161709325 1368122469025 2462620444245 4104367407075 12313102221225