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21011023200 = 2535253165181
BaseRepresentation
bin10011100100010110…
…101100010101100000
32000020021221120100110
4103210112230111200
5321012310220300
613352523051320
71342446515256
oct234426542540
960207846313
1021011023200
118a021a1792
1240a4670b40
131c9aca430b
1410346a25d6
1582e8c8550
hex4e45ac560

21011023200 has 144 divisors (see below), whose sum is σ = 69681696336. Its totient is φ = 5497190400.

The previous prime is 21011023133. The next prime is 21011023211. The reversal of 21011023200 is 232011012.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 44610 + ... + 209790.

It is an arithmetic number, because the mean of its divisors is an integer number (483900669).

Almost surely, 221011023200 is an apocalyptic number.

21011023200 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 21011023200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34840848168).

21011023200 is an abundant number, since it is smaller than the sum of its proper divisors (48670673136).

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

21011023200 is a wasteful number, since it uses less digits than its factorization.

21011023200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165257 (or 165244 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 21011023200 its reverse (232011012), we get a palindrome (21243034212).

The spelling of 21011023200 in words is "twenty-one billion, eleven million, twenty-three thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 53 60 75 80 96 100 106 120 150 159 160 200 212 240 265 300 318 400 424 480 530 600 636 795 800 848 1060 1200 1272 1325 1590 1696 2120 2400 2544 2650 3180 3975 4240 5088 5300 6360 7950 8480 10600 12720 15900 21200 25440 31800 42400 63600 127200 165181 330362 495543 660724 825905 991086 1321448 1651810 1982172 2477715 2642896 3303620 3964344 4129525 4955430 5285792 6607240 7928688 8259050 8754593 9910860 12388575 13214480 15857376 16518100 17509186 19821720 24777150 26263779 26428960 33036200 35018372 39643440 43772965 49554300 52527558 66072400 70036744 79286880 87545930 99108600 105055116 131318895 132144800 140073488 175091860 198217200 210110232 218864825 262637790 280146976 350183720 396434400 420220464 437729650 525275580 656594475 700367440 840440928 875459300 1050551160 1313188950 1400734880 1750918600 2101102320 2626377900 3501837200 4202204640 5252755800 7003674400 10505511600 21011023200