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21114033300 = 22325292925253
BaseRepresentation
bin10011101010011111…
…101001010010010100
32000111110210000122100
4103222133221102110
5321220143031200
613411043002100
71345140215253
oct235237512224
960443700570
1021114033300
118a553597a8
124113069330
131cb642cc39
14104423879a
15838974d00
hex4ea7e9494

21114033300 has 108 divisors (see below), whose sum is σ = 66254626620. Its totient is φ = 5624125440.

The previous prime is 21114033287. The next prime is 21114033323. The reversal of 21114033300 is 333041112.

It can be written as a sum of positive squares in 6 ways, for example, as 672468624 + 20441564676 = 25932^2 + 142974^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 823474 + ... + 848726.

It is an arithmetic number, because the mean of its divisors is an integer number (613468765).

Almost surely, 221114033300 is an apocalyptic number.

21114033300 is a gapful number since it is divisible by the number (20) 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 21114033300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33127313310).

21114033300 is an abundant number, since it is smaller than the sum of its proper divisors (45140593320).

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

21114033300 is a wasteful number, since it uses less digits than its factorization.

21114033300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26202 (or 26192 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 21114033300 its reverse (333041112), we get a palindrome (21447074412).

The spelling of 21114033300 in words is "twenty-one billion, one hundred fourteen million, thirty-three thousand, three hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 450 900 929 1858 2787 3716 4645 5574 8361 9290 11148 13935 16722 18580 23225 25253 27870 33444 41805 46450 50506 55740 69675 75759 83610 92900 101012 126265 139350 151518 167220 209025 227277 252530 278700 303036 378795 418050 454554 505060 631325 757590 836100 909108 1136385 1262650 1515180 1893975 2272770 2525300 3787950 4545540 5681925 7575900 11363850 22727700 23460037 46920074 70380111 93840148 117300185 140760222 211140333 234600370 281520444 351900555 422280666 469200740 586500925 703801110 844561332 1055701665 1173001850 1407602220 1759502775 2111403330 2346003700 3519005550 4222806660 5278508325 7038011100 10557016650 21114033300