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13106863125 = 3454892909
BaseRepresentation
bin11000011010011101…
…01101110000010101
31020211102212122010000
430031032231300111
5203320324110000
610004325321513
7642541332636
oct141516556025
936742778100
1013106863125
115616534294
122659566299
13130b579315
148c4a2588d
1551aa10000
hex30d3adc15

13106863125 has 100 divisors (see below), whose sum is σ = 24749811900. Its totient is φ = 6909408000.

The previous prime is 13106863123. The next prime is 13106863127. The reversal of 13106863125 is 52136860131.

13106863125 is a `hidden beast` number, since 1 + 3 + 10 + 6 + 8 + 631 + 2 + 5 = 666.

13106863125 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (13106863123) and next prime (13106863127).

It can be written as a sum of positive squares in 10 ways, for example, as 9620078724 + 3486784401 = 98082^2 + 59049^2 .

It is not a de Polignac number, because 13106863125 - 21 = 13106863123 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 13106863125.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13106863123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 99 ways as a sum of consecutive naturals, for example, 4504171 + ... + 4507079.

It is an arithmetic number, because the mean of its divisors is an integer number (247498119).

Almost surely, 213106863125 is an apocalyptic number.

13106863125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13106863125 is a deficient number, since it is larger than the sum of its proper divisors (11642948775).

13106863125 is an frugal number, since it uses more digits than its factorization.

13106863125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3030 (or 3006 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 13106863125 in words is "thirteen billion, one hundred six million, eight hundred sixty-three thousand, one hundred twenty-five".

Divisors: 1 3 5 9 15 25 27 45 75 81 89 125 135 225 267 375 405 445 625 675 801 1125 1335 1875 2025 2225 2403 2909 3375 4005 5625 6675 7209 8727 10125 11125 12015 14545 16875 20025 26181 33375 36045 43635 50625 55625 60075 72725 78543 100125 130905 166875 180225 218175 235629 258901 300375 363625 392715 500625 654525 776703 901125 1090875 1178145 1294505 1501875 1818125 1963575 2330109 3272625 3883515 4505625 5454375 5890725 6472525 6990327 9817875 11650545 16363125 19417575 20970981 29453625 32362625 34951635 49089375 58252725 97087875 104854905 147268125 161813125 174758175 291263625 485439375 524274525 873790875 1456318125 2621372625 4368954375 13106863125