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21123321200300 = 2252111710159111191
BaseRepresentation
bin1001100110110001010000…
…00011100111111010101100
32202210100222120110222221202
410303120220003213322230
510232041030211402200
6112531530401545032
74310052406464014
oct463305003477254
982710876428852
1021123321200300
116804394151a90
122451a11645178
13ba2bc785c7c7
14530534b44c44
152696ece421d5
hex1336280e7eac

21123321200300 has 144 divisors (see below), whose sum is σ = 52951800867840. Its totient is φ = 7228595328000.

The previous prime is 21123321200299. The next prime is 21123321200381. The reversal of 21123321200300 is 300212332112.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 189917705 + ... + 190028895.

It is an arithmetic number, because the mean of its divisors is an integer number (367720839360).

Almost surely, 221123321200300 is an apocalyptic number.

21123321200300 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 21123321200300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26475900433920).

21123321200300 is an abundant number, since it is smaller than the sum of its proper divisors (31828479667540).

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

21123321200300 is a wasteful number, since it uses less digits than its factorization.

21123321200300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121392 (or 121385 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 21123321200300 its reverse (300212332112), we get a palindrome (21423533532412).

The spelling of 21123321200300 in words is "twenty-one trillion, one hundred twenty-three billion, three hundred twenty-one million, two hundred thousand, three hundred".

Divisors: 1 2 4 5 10 11 17 20 22 25 34 44 50 55 68 85 100 110 170 187 220 275 340 374 425 550 748 850 935 1100 1700 1870 3740 4675 9350 10159 18700 20318 40636 50795 101590 111191 111749 172703 203180 222382 223498 253975 345406 444764 446996 507950 555955 558745 690812 863515 1015900 1111910 1117490 1223101 1727030 1890247 1899733 2223820 2234980 2446202 2779775 2793725 3454060 3780494 3799466 4317575 4892404 5559550 5587450 6115505 7560988 7598932 8635150 9451235 9498665 11119100 11174900 12231010 17270300 18902470 18997330 20792717 24462020 30577525 37804940 37994660 41585434 47256175 47493325 61155050 83170868 94512350 94986650 103963585 122310100 189024700 189973300 207927170 415854340 519817925 1039635850 1129589369 2079271700 2259178738 4518357476 5647946845 11295893690 12425483059 19203019273 22591787380 24850966118 28239734225 38406038546 49701932236 56479468450 62127415295 76812077092 96015096365 112958936900 124254830590 192030192730 211233212003 248509661180 310637076475 384060385460 422466424006 480075481825 621274152950 844932848012 960150963650 1056166060015 1242548305900 1920301927300 2112332120030 4224664240060 5280830300075 10561660600150 21123321200300