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13023510518 = 2171941267179
BaseRepresentation
bin11000010000100001…
…01111111111110110
31020121122000212211102
430020100233333312
5203133004314033
65552151010102
7640510004264
oct141020577766
936548025742
1013023510518
115583483237
122635669932
1312c7213c55
148b7929434
15513547de8
hex30842fff6

13023510518 has 96 divisors (see below), whose sum is σ = 22776681600. Its totient is φ = 5548815360.

The previous prime is 13023510517. The next prime is 13023510523. The reversal of 13023510518 is 81501532031.

It is a happy number.

It is a super-2 number, since 2×130235105182 (a number of 21 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13023510517) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 72756953 + ... + 72757131.

It is an arithmetic number, because the mean of its divisors is an integer number (237257100).

Almost surely, 213023510518 is an apocalyptic number.

13023510518 is a deficient number, since it is larger than the sum of its proper divisors (9753171082).

13023510518 is a wasteful number, since it uses less digits than its factorization.

13023510518 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 366 (or 325 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 29.

The spelling of 13023510518 in words is "thirteen billion, twenty-three million, five hundred ten thousand, five hundred eighteen".

Divisors: 1 2 17 19 34 38 41 67 82 134 179 323 358 646 697 779 1139 1273 1394 1558 1681 2278 2546 2747 3043 3362 3401 5494 6086 6802 7339 11993 13243 14678 21641 23986 26486 28577 31939 43282 46699 52193 57154 57817 63878 93398 104386 112627 115634 124763 139441 203881 225254 227867 249526 278882 300899 407762 455734 491713 542963 601798 887281 983426 1085926 1774562 1914659 2139913 2370497 3829318 3873739 4279826 4740994 5115283 5717081 7747478 8359121 9342547 10230566 11434162 16718242 18685094 20160233 36378521 40320466 72757042 97190377 158823299 194380754 317646598 342723961 383044427 685447922 766088854 6511755259 13023510518