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13017099006 = 2341921032161
BaseRepresentation
bin11000001111110000…
…10010101011111110
31020121011222010220000
430013320102223332
5203124334132011
65551401335130
7640401341652
oct140770225376
936534863800
1013017099006
11557a8a416a
1226334974a6
1312c5aaa862
148b6b3aa62
15512bcd356
hex307e12afe

13017099006 has 120 divisors (see below), whose sum is σ = 31097152944. Its totient is φ = 4068869760.

The previous prime is 13017098993. The next prime is 13017099049. The reversal of 13017099006 is 60099071031.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 6022566 + ... + 6024726.

Almost surely, 213017099006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13017099006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15548576472).

13017099006 is an abundant number, since it is smaller than the sum of its proper divisors (18080053938).

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

13017099006 is a wasteful number, since it uses less digits than its factorization.

13017099006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2316 (or 2288 counting only the distinct ones).

The product of its (nonzero) digits is 10206, while the sum is 36.

The spelling of 13017099006 in words is "thirteen billion, seventeen million, ninety-nine thousand, six".

Divisors: 1 2 3 6 9 18 19 27 38 54 57 81 103 114 162 171 206 309 342 361 513 618 722 927 1026 1083 1539 1854 1957 2161 2166 2781 3078 3249 3914 4322 5562 5871 6483 6498 8343 9747 11742 12966 16686 17613 19449 19494 29241 35226 37183 38898 41059 52839 58347 58482 74366 82118 105678 111549 116694 123177 158517 175041 222583 223098 246354 317034 334647 350082 369531 445166 667749 669294 739062 780121 1003941 1108593 1335498 1560242 2003247 2007882 2217186 2340363 3011823 3325779 4006494 4229077 4680726 6009741 6023646 6651558 7021089 8458154 12019482 12687231 14042178 18029223 21063267 25374462 36058446 38061693 42126534 63189801 76123386 80352463 114185079 126379602 160704926 228370158 241057389 342555237 482114778 685110474 723172167 1446344334 2169516501 4339033002 6508549503 13017099006