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21042011320 = 23511219212043
BaseRepresentation
bin10011100110001100…
…111001110010111000
32000022110020221001121
4103212030321302320
5321043223330240
613355551155024
71343304100531
oct234614716270
960273227047
1021042011320
118a18737600
1240b2b15a74
131ca4533c95
14103884b688
1583249a04a
hex4e6339cb8

21042011320 has 144 divisors (see below), whose sum is σ = 54927505080. Its totient is φ = 7248320640.

The previous prime is 21042011303. The next prime is 21042011323. The reversal of 21042011320 is 2311024012.

It is a junction number, because it is equal to n+sod(n) for n = 21042011294 and 21042011303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21042011323) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1741219 + ... + 1753261.

Almost surely, 221042011320 is an apocalyptic number.

21042011320 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 21042011320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27463752540).

21042011320 is an abundant number, since it is smaller than the sum of its proper divisors (33885493760).

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

21042011320 is a wasteful number, since it uses less digits than its factorization.

21042011320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12114 (or 12080 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 21042011320 its reverse (2311024012), we get a palindrome (23353035332).

The spelling of 21042011320 in words is "twenty-one billion, forty-two million, eleven thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 19 20 22 38 40 44 55 76 88 95 110 121 152 190 209 220 242 361 380 418 440 484 605 722 760 836 968 1045 1210 1444 1672 1805 2090 2299 2420 2888 3610 3971 4180 4598 4840 7220 7942 8360 9196 11495 12043 14440 15884 18392 19855 22990 24086 31768 39710 43681 45980 48172 60215 79420 87362 91960 96344 120430 132473 158840 174724 218405 228817 240860 264946 349448 436810 457634 481720 529892 662365 873620 915268 1059784 1144085 1324730 1457203 1747240 1830536 2288170 2516987 2649460 2914406 4347523 4576340 5033974 5298920 5828812 7286015 8695046 9152680 10067948 11657624 12584935 14572030 17390092 20135896 21737615 25169870 27686857 29144060 34780184 43475230 47822753 50339740 55373714 58288120 86950460 95645506 100679480 110747428 138434285 173900920 191291012 221494856 239113765 276868570 382582024 478227530 526050283 553737140 956455060 1052100566 1107474280 1912910120 2104201132 2630251415 4208402264 5260502830 10521005660 21042011320