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13002563370 = 2355967831321
BaseRepresentation
bin11000001110000001…
…10101111100101010
31020120011121122202010
430013000311330222
5203112124011440
65550122020350
7640133652006
oct140700657452
936504548663
1013002563370
115572676345
12262a6476b6
1312c2a8b6a4
148b4c35706
155117ab580
hex307035f2a

13002563370 has 128 divisors (see below), whose sum is σ = 32621460480. Its totient is φ = 3314741760.

The previous prime is 13002563317. The next prime is 13002563383. The reversal of 13002563370 is 7336520031.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9842310 + ... + 9843630.

It is an arithmetic number, because the mean of its divisors is an integer number (254855160).

Almost surely, 213002563370 is an apocalyptic number.

13002563370 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13002563370, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16310730240).

13002563370 is an abundant number, since it is smaller than the sum of its proper divisors (19618897110).

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

13002563370 is a wasteful number, since it uses less digits than its factorization.

13002563370 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1540.

The product of its (nonzero) digits is 11340, while the sum is 30.

The spelling of 13002563370 in words is "thirteen billion, two million, five hundred sixty-three thousand, three hundred seventy".

Divisors: 1 2 3 5 6 10 15 30 59 67 83 118 134 166 177 201 249 295 335 354 402 415 498 590 670 830 885 1005 1245 1321 1770 2010 2490 2642 3953 3963 4897 5561 6605 7906 7926 9794 11122 11859 13210 14691 16683 19765 19815 23718 24485 27805 29382 33366 39530 39630 48970 55610 59295 73455 77939 83415 88507 109643 118590 146910 155878 166830 177014 219286 233817 265521 328099 328929 389695 442535 467634 531042 548215 656198 657858 779390 885070 984297 1096430 1169085 1327605 1640495 1644645 1968594 2338170 2655210 3280990 3289290 4921485 5221913 6468937 7346081 9842970 10443826 12937874 14692162 15665739 19406811 22038243 26109565 31331478 32344685 36730405 38813622 44076486 52219130 64689370 73460810 78328695 97034055 110191215 156657390 194068110 220382430 433418779 866837558 1300256337 2167093895 2600512674 4334187790 6501281685 13002563370