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10202313300 = 22352433592203
BaseRepresentation
bin10011000000001101…
…01111001001010100
3222100000110012210120
421200012233021110
5131343243011200
64404210551540
7510552142434
oct114006571124
928300405716
1010202313300
114365a37a93
121b888985b0
13c678a469a
146cad882c4
153eaa229a0
hex2601af254

10202313300 has 144 divisors (see below), whose sum is σ = 30303060480. Its totient is φ = 2648741760.

The previous prime is 10202313299. The next prime is 10202313307. The reversal of 10202313300 is 331320201.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 10202313300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10202313307) 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, 4629999 + ... + 4632201.

It is an arithmetic number, because the mean of its divisors is an integer number (210437920).

Almost surely, 210202313300 is an apocalyptic number.

10202313300 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 10202313300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15151530240).

10202313300 is an abundant number, since it is smaller than the sum of its proper divisors (20100747180).

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

10202313300 is a wasteful number, since it uses less digits than its factorization.

10202313300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2622 (or 2615 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 10202313300 its reverse (331320201), we get a palindrome (10533633501).

The spelling of 10202313300 in words is "ten billion, two hundred two million, three hundred thirteen thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 43 50 60 75 86 100 129 150 172 215 258 300 359 430 516 645 718 860 1075 1077 1290 1436 1795 2150 2154 2203 2580 3225 3590 4300 4308 4406 5385 6450 6609 7180 8812 8975 10770 11015 12900 13218 15437 17950 21540 22030 26436 26925 30874 33045 35900 44060 46311 53850 55075 61748 66090 77185 92622 94729 107700 110150 132180 154370 165225 185244 189458 220300 231555 284187 308740 330450 378916 385925 463110 473645 568374 660900 771850 790877 926220 947290 1136748 1157775 1420935 1543700 1581754 1894580 2315550 2368225 2372631 2841870 3163508 3954385 4631100 4736450 4745262 5683740 7104675 7908770 9472900 9490524 11863155 14209350 15817540 19771925 23726310 28418700 34007711 39543850 47452620 59315775 68015422 79087700 102023133 118631550 136030844 170038555 204046266 237263100 340077110 408092532 510115665 680154220 850192775 1020231330 1700385550 2040462660 2550578325 3400771100 5101156650 10202313300