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21001443320 = 235111326913649
BaseRepresentation
bin10011100011110010…
…001001011111111000
32000012121220212020002
4103203302021133320
5321002332141240
613351541452132
71342302215504
oct234362113770
960177825202
1021001443320
1189a7849230
1240a1411048
131c98ccba50
1410332cb304
1582db34d15
hex4e3c897f8

21001443320 has 128 divisors (see below), whose sum is σ = 55724760000. Its totient is φ = 7022714880.

The previous prime is 21001443311. The next prime is 21001443347. The reversal of 21001443320 is 2334410012.

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 = 21001443292 and 21001443301.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1531856 + ... + 1545504.

Almost surely, 221001443320 is an apocalyptic number.

21001443320 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 21001443320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27862380000).

21001443320 is an abundant number, since it is smaller than the sum of its proper divisors (34723316680).

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

21001443320 is a wasteful number, since it uses less digits than its factorization.

21001443320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13953 (or 13949 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 21001443320 its reverse (2334410012), we get a palindrome (23335853332).

The spelling of 21001443320 in words is "twenty-one billion, one million, four hundred forty-three thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 13 20 22 26 40 44 52 55 65 88 104 110 130 143 220 260 269 286 440 520 538 572 715 1076 1144 1345 1430 2152 2690 2860 2959 3497 5380 5720 5918 6994 10760 11836 13649 13988 14795 17485 23672 27298 27976 29590 34970 38467 54596 59180 68245 69940 76934 109192 118360 136490 139880 150139 153868 177437 192335 272980 300278 307736 354874 384670 545960 600556 709748 750695 769340 887185 1201112 1419496 1501390 1538680 1774370 1951807 3002780 3548740 3671581 3903614 6005560 7097480 7343162 7807228 9759035 14686324 15614456 18357905 19518070 29372648 36715810 39036140 40387391 47730553 73431620 78072280 80774782 95461106 146863240 161549564 190922212 201936955 238652765 323099128 381844424 403873910 477305530 525036083 807747820 954611060 1050072166 1615495640 1909222120 2100144332 2625180415 4200288664 5250360830 10500721660 21001443320