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10013516700 = 223521125711807
BaseRepresentation
bin10010101001101101…
…00010001110011100
3221211212012100112220
421110312202032130
5131001430013300
64333344225340
7503100326145
oct112466421634
927755170486
1010013516700
114279407340
121b3560b250
13c37740915
146adc80acc
153d917cda0
hex254da239c

10013516700 has 144 divisors (see below), whose sum is σ = 31731969024. Its totient is φ = 2417868800.

The previous prime is 10013516659. The next prime is 10013516701. The reversal of 10013516700 is 761531001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10013516701) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 842197 + ... + 854003.

It is an arithmetic number, because the mean of its divisors is an integer number (220360896).

Almost surely, 210013516700 is an apocalyptic number.

10013516700 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 10013516700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15865984512).

10013516700 is an abundant number, since it is smaller than the sum of its proper divisors (21718452324).

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

10013516700 is a wasteful number, since it uses less digits than its factorization.

10013516700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12092 (or 12085 counting only the distinct ones).

The product of its (nonzero) digits is 630, while the sum is 24.

The spelling of 10013516700 in words is "ten billion, thirteen million, five hundred sixteen thousand, seven hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 110 132 150 165 220 257 275 300 330 514 550 660 771 825 1028 1100 1285 1542 1650 2570 2827 3084 3300 3855 5140 5654 6425 7710 8481 11308 11807 12850 14135 15420 16962 19275 23614 25700 28270 33924 35421 38550 42405 47228 56540 59035 70675 70842 77100 84810 118070 129877 141350 141684 169620 177105 212025 236140 259754 282700 295175 354210 389631 424050 519508 590350 649385 708420 779262 848100 885525 1180700 1298770 1558524 1771050 1948155 2597540 3034399 3246925 3542100 3896310 6068798 6493850 7792620 9103197 9740775 12137596 12987700 15171995 18206394 19481550 30343990 33378389 36412788 38963100 45515985 60687980 66756778 75859975 91031970 100135167 133513556 151719950 166891945 182063940 200270334 227579925 303439900 333783890 400540668 455159850 500675835 667567780 834459725 910319700 1001351670 1668919450 2002703340 2503379175 3337838900 5006758350 10013516700