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12930816105 = 3654497901
BaseRepresentation
bin11000000101011110…
…01001100001101001
31020101011121112000000
430002233021201221
5202440242103410
65535040133213
7635303060214
oct140257114151
936334545000
1012930816105
115536121589
12260a607209
1312b0c5a79c
148a94ba77b
1550a337dc0
hex302bc9869

12930816105 has 56 divisors (see below), whose sum is σ = 23319592200. Its totient is φ = 6880204800.

The previous prime is 12930816089. The next prime is 12930816127. The reversal of 12930816105 is 50161803921.

12930816105 is a `hidden beast` number, since 1 + 2 + 9 + 30 + 8 + 1 + 610 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2690185689 + 10240630416 = 51867^2 + 101196^2 .

It is not a de Polignac number, because 12930816105 - 24 = 12930816089 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 12930816105.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 1632655 + ... + 1640555.

Almost surely, 212930816105 is an apocalyptic number.

12930816105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

12930816105 is a deficient number, since it is larger than the sum of its proper divisors (10388776095).

12930816105 is an frugal number, since it uses more digits than its factorization.

12930816105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8373 (or 8358 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The spelling of 12930816105 in words is "twelve billion, nine hundred thirty million, eight hundred sixteen thousand, one hundred five".

Divisors: 1 3 5 9 15 27 45 81 135 243 405 449 729 1215 1347 2245 3645 4041 6735 7901 12123 20205 23703 36369 39505 60615 71109 109107 118515 181845 213327 327321 355545 545535 639981 1066635 1636605 1919943 3199905 3547549 5759829 9599715 10642647 17737745 28799145 31927941 53213235 95783823 159639705 287351469 478919115 862054407 1436757345 2586163221 4310272035 12930816105