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13102631685 = 355111325801
BaseRepresentation
bin11000011001111101…
…00100101100000101
31020211010220122200000
430030332210230011
5203313233203220
610004054511513
7642460350243
oct141476445405
936733818600
1013102631685
115614104130
122658065599
13130a727300
148c4243793
1551a476390
hex30cfa4b05

13102631685 has 144 divisors (see below), whose sum is σ = 27826763328. Its totient is φ = 5863104000.

The previous prime is 13102631617. The next prime is 13102631687. The reversal of 13102631685 is 58613620131.

13102631685 is a `hidden beast` number, since 1 + 3 + 10 + 2 + 631 + 6 + 8 + 5 = 666.

It is not a de Polignac number, because 13102631685 - 27 = 13102631557 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13102631687) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2255785 + ... + 2261585.

It is an arithmetic number, because the mean of its divisors is an integer number (193241412).

Almost surely, 213102631685 is an apocalyptic number.

13102631685 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13102631685 is an abundant number, since it is smaller than the sum of its proper divisors (14724131643).

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

13102631685 is a wasteful number, since it uses less digits than its factorization.

13102631685 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5858 (or 5833 counting only the distinct ones).

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

The spelling of 13102631685 in words is "thirteen billion, one hundred two million, six hundred thirty-one thousand, six hundred eighty-five".

Divisors: 1 3 5 9 11 13 15 27 33 39 45 55 65 81 99 117 135 143 165 169 195 243 297 351 405 429 495 507 585 715 845 891 1053 1215 1287 1485 1521 1755 1859 2145 2535 2673 3159 3861 4455 4563 5265 5577 5801 6435 7605 9295 11583 13365 13689 15795 16731 17403 19305 22815 27885 29005 34749 41067 50193 52209 57915 63811 68445 75413 83655 87015 150579 156627 173745 191433 205335 226239 250965 261045 319055 377065 451737 469881 574299 678717 752895 783135 829543 957165 980369 1131195 1409643 1722897 2036151 2258685 2349405 2488629 2871495 2941107 3393585 4147715 4901845 5168691 6108453 7048215 7465887 8614485 8823321 10180755 10784059 12443145 14705535 15506073 18325359 22397661 25843455 26469963 30542265 32352177 37329435 44116605 53920295 67192983 77530365 79409889 91626795 97056531 111988305 132349815 161760885 201578949 238229667 291169593 335964915 397049445 485282655 873508779 1007894745 1191148335 1455847965 2620526337 4367543895 13102631685