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21131232320 = 2651159101749
BaseRepresentation
bin10011101011100001…
…010000010001000000
32000112200010211021002
4103223201100101000
5321234043413240
613412455351132
71345436340212
oct235341202100
960480124232
1021131232320
118a64036670
1241189824a8
131cb9b72483
1410466345b2
1583a220d15
hex4eb850440

21131232320 has 112 divisors (see below), whose sum is σ = 55824120000. Its totient is φ = 7553771520.

The previous prime is 21131232293. The next prime is 21131232329. The reversal of 21131232320 is 2323213112.

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

It is a junction number, because it is equal to n+sod(n) for n = 21131232292 and 21131232301.

It is not an unprimeable number, because it can be changed into a prime (21131232329) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 156806 + ... + 258554.

Almost surely, 221131232320 is an apocalyptic number.

21131232320 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 21131232320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27912060000).

21131232320 is an abundant number, since it is smaller than the sum of its proper divisors (34692887680).

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

21131232320 is a wasteful number, since it uses less digits than its factorization.

21131232320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101836 (or 101826 counting only the distinct ones).

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

Adding to 21131232320 its reverse (2323213112), we get a palindrome (23454445432).

The spelling of 21131232320 in words is "twenty-one billion, one hundred thirty-one million, two hundred thirty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 59 64 80 88 110 118 160 176 220 236 295 320 352 440 472 590 649 704 880 944 1180 1298 1760 1888 2360 2596 3245 3520 3776 4720 5192 6490 9440 10384 12980 18880 20768 25960 41536 51920 101749 103840 203498 207680 406996 508745 813992 1017490 1119239 1627984 2034980 2238478 3255968 4069960 4476956 5596195 6003191 6511936 8139920 8953912 11192390 12006382 16279840 17907824 22384780 24012764 30015955 32559680 35815648 44769560 48025528 60031910 66035101 71631296 89539120 96051056 120063820 132070202 179078240 192102112 240127640 264140404 330175505 358156480 384204224 480255280 528280808 660351010 960510560 1056561616 1320702020 1921021120 2113123232 2641404040 4226246464 5282808080 10565616160 21131232320