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13034170320 = 24354311311177
BaseRepresentation
bin11000010001110010…
…11010011111010000
31020122101002110022220
430020321122133100
5203143221422240
65553211301040
7640666422363
oct141071323720
936571073286
1013034170320
1155894a4096
12263914a780
1312c94a6c22
148b91020da
155144515d0
hex308e5a7d0

13034170320 has 160 divisors (see below), whose sum is σ = 41715222912. Its totient is φ = 3364601856.

The previous prime is 13034170271. The next prime is 13034170393. The reversal of 13034170320 is 2307143031.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1160572 + ... + 1171748.

Almost surely, 213034170320 is an apocalyptic number.

13034170320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13034170320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20857611456).

13034170320 is an abundant number, since it is smaller than the sum of its proper divisors (28681052592).

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

13034170320 is a wasteful number, since it uses less digits than its factorization.

13034170320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11349 (or 11343 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 24.

It can be divided in two parts, 130341 and 70320, that added together give a triangular number (200661 = T633).

The spelling of 13034170320 in words is "thirteen billion, thirty-four million, one hundred seventy thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 43 48 60 80 86 113 120 129 172 215 226 240 258 339 344 430 452 516 565 645 678 688 860 904 1032 1130 1290 1356 1695 1720 1808 2064 2260 2580 2712 3390 3440 4520 4859 5160 5424 6780 9040 9718 10320 11177 13560 14577 19436 22354 24295 27120 29154 33531 38872 44708 48590 55885 58308 67062 72885 77744 89416 97180 111770 116616 134124 145770 167655 178832 194360 223540 233232 268248 291540 335310 388720 447080 480611 536496 583080 670620 894160 961222 1166160 1263001 1341240 1441833 1922444 2403055 2526002 2682480 2883666 3789003 3844888 4806110 5052004 5767332 6315005 7209165 7578006 7689776 9612220 10104008 11534664 12630010 14418330 15156012 18945015 19224440 20208016 23069328 25260020 28836660 30312024 37890030 38448880 50520040 54309043 57673320 60624048 75780060 101040080 108618086 115346640 151560120 162927129 217236172 271545215 303120240 325854258 434472344 543090430 651708516 814635645 868944688 1086180860 1303417032 1629271290 2172361720 2606834064 3258542580 4344723440 6517085160 13034170320