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13106656420 = 22511132615779
BaseRepresentation
bin11000011010011011…
…11011010010100100
31020211102111010120021
430031031323102210
5203320301001140
610004321044524
7642536512204
oct141515732244
936742433507
1013106656420
115616402a60
122659486744
13130b506200
148c49b0404
1551a9bdb4a
hex30d37b4a4

13106656420 has 144 divisors (see below), whose sum is σ = 33052259520. Its totient is φ = 4326566400.

The previous prime is 13106656417. The next prime is 13106656469. The reversal of 13106656420 is 2465660131.

13106656420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 2265091 + ... + 2270869.

It is an arithmetic number, because the mean of its divisors is an integer number (229529580).

Almost surely, 213106656420 is an apocalyptic number.

13106656420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13106656420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16526129760).

13106656420 is an abundant number, since it is smaller than the sum of its proper divisors (19945603100).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13106656420 is a wasteful number, since it uses less digits than its factorization.

13106656420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5886 (or 5871 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 34.

The spelling of 13106656420 in words is "thirteen billion, one hundred six million, six hundred fifty-six thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 13 20 22 26 44 52 55 61 65 110 122 130 143 169 220 244 260 286 305 338 572 610 671 676 715 793 845 1220 1342 1430 1586 1690 1859 2684 2860 3172 3355 3380 3718 3965 5779 6710 7436 7930 8723 9295 10309 11558 13420 15860 17446 18590 20618 23116 28895 34892 37180 41236 43615 51545 57790 63569 75127 87230 103090 113399 115580 127138 150254 174460 206180 226798 254276 300508 317845 352519 375635 453596 566995 635690 705038 751270 826397 976651 1133990 1271380 1410076 1502540 1652794 1762595 1953302 2267980 3305588 3525190 3877709 3906604 4131985 4582747 4883255 7050380 7755418 8263970 9165494 9766510 10743161 15510836 16527940 18330988 19388545 19533020 21486322 22913735 38777090 42972644 45827470 50410217 53715805 59575711 77554180 91654940 100820434 107431610 119151422 201640868 214863220 238302844 252051085 297878555 504102170 595757110 655332821 1008204340 1191514220 1310665642 2621331284 3276664105 6553328210 13106656420