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13106702895 = 35111321273701
BaseRepresentation
bin11000011010011100…
…00110101000101111
31020211102120111022120
430031032012220233
5203320303443040
610004322044023
7642540064536
oct141516065057
936742514276
1013106702895
115616434970
1226594a9613
13130b521400
148c49c331d
1551a9cc7d0
hex30d386a2f

13106702895 has 96 divisors (see below), whose sum is σ = 24974106624. Its totient is φ = 5818176000.

The previous prime is 13106702887. The next prime is 13106702923. The reversal of 13106702895 is 59820760131.

13106702895 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13106702895 - 23 = 13106702887 is a prime.

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 3539545 + ... + 3543245.

It is an arithmetic number, because the mean of its divisors is an integer number (260146944).

Almost surely, 213106702895 is an apocalyptic number.

13106702895 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

13106702895 is a deficient number, since it is larger than the sum of its proper divisors (11867403729).

13106702895 is a wasteful number, since it uses less digits than its factorization.

13106702895 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3873 (or 3860 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 42.

The spelling of 13106702895 in words is "thirteen billion, one hundred six million, seven hundred two thousand, eight hundred ninety-five".

Divisors: 1 3 5 11 13 15 33 39 55 65 127 143 165 169 195 381 429 507 635 715 845 1397 1651 1859 1905 2145 2535 3701 4191 4953 5577 6985 8255 9295 11103 18161 18505 20955 21463 24765 27885 40711 48113 54483 55515 64389 90805 107315 122133 144339 203555 236093 240565 272415 321945 470027 529243 610665 625469 708279 721695 1180465 1410081 1587729 1876407 2350135 2646215 3127345 3541395 5170297 6110351 6880159 7050405 7938645 9382035 15510891 18331053 20640477 25851485 30551755 34400795 67213861 77554455 79434563 91655265 103202385 201641583 238303689 336069305 397172815 873780193 1008207915 1191518445 2621340579 4368900965 13106702895