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10022311300 = 2252792235689
BaseRepresentation
bin10010101010110000…
…00101010110000100
3221212110202011110211
421111120011112010
5131011202430200
64334300525204
7503235145321
oct112530052604
927773664424
1010022311300
114283373901
121b38550804
13c394cc921
146b10cdb48
153d9d18aba
hex255605584

10022311300 has 72 divisors (see below), whose sum is σ = 22126361600. Its totient is φ = 3939736320.

The previous prime is 10022311267. The next prime is 10022311361. The reversal of 10022311300 is 311322001.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1758856 + ... + 1764544.

Almost surely, 210022311300 is an apocalyptic number.

10022311300 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 10022311300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11063180800).

10022311300 is an abundant number, since it is smaller than the sum of its proper divisors (12104050300).

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

10022311300 is a wasteful number, since it uses less digits than its factorization.

10022311300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6005 (or 5998 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

Adding to 10022311300 its reverse (311322001), we get a palindrome (10333633301).

The spelling of 10022311300 in words is "ten billion, twenty-two million, three hundred eleven thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 79 100 158 223 316 395 446 790 892 1115 1580 1975 2230 3950 4460 5575 5689 7900 11150 11378 17617 22300 22756 28445 35234 56890 70468 88085 113780 142225 176170 284450 352340 440425 449431 568900 880850 898862 1268647 1761700 1797724 2247155 2537294 4494310 5074588 6343235 8988620 11235775 12686470 22471550 25372940 31716175 44943100 63432350 100223113 126864700 200446226 400892452 501115565 1002231130 2004462260 2505577825 5011155650 10022311300