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21301000110 = 23451311171811
BaseRepresentation
bin10011110101101000…
…110111011110101110
32000222111120220220000
4103311220313132232
5322111024000420
613441402205130
71352600341065
oct236550673656
960874526800
1021301000110
11904094a725
1241657b37a6
1320160a2ba0
141060dc71dc
1584a0a7690
hex4f5a377ae

21301000110 has 160 divisors (see below), whose sum is σ = 61771181472. Its totient is φ = 5235736320.

The previous prime is 21301000109. The next prime is 21301000121. The reversal of 21301000110 is 1100010312.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 21301000092 and 21301000101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 11761105 + ... + 11762915.

Almost surely, 221301000110 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21301000110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30885590736).

21301000110 is an abundant number, since it is smaller than the sum of its proper divisors (40470181362).

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

21301000110 is a wasteful number, since it uses less digits than its factorization.

21301000110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2960 (or 2951 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

Adding to 21301000110 its reverse (1100010312), we get a palindrome (22401010422).

The spelling of 21301000110 in words is "twenty-one billion, three hundred one million, one hundred ten", and thus it is an aban number.

Divisors: 1 2 3 5 6 9 10 13 15 18 26 27 30 39 45 54 65 78 81 90 117 130 135 162 195 234 270 351 390 405 585 702 810 1053 1117 1170 1755 1811 2106 2234 3351 3510 3622 5265 5433 5585 6702 9055 10053 10530 10866 11170 14521 16299 16755 18110 20106 23543 27165 29042 30159 32598 33510 43563 47086 48897 50265 54330 60318 70629 72605 81495 87126 90477 97794 100530 117715 130689 141258 145210 146691 150795 162990 180954 211887 217815 235430 244485 261378 293382 301590 353145 392067 423774 435630 452385 488970 635661 653445 706290 733455 784134 904770 1059435 1176201 1271322 1306890 1466910 1906983 1960335 2022887 2118870 2352402 3178305 3813966 3920670 4045774 5881005 6068661 6356610 9534915 10114435 11762010 12137322 18205983 19069830 20228870 26297531 30343305 36411966 52595062 54617949 60686610 78892593 91029915 109235898 131487655 157785186 163853847 182059830 236677779 262975310 273089745 327707694 394462965 473355558 546179490 710033337 788925930 819269235 1183388895 1420066674 1638538470 2130100011 2366777790 3550166685 4260200022 7100333370 10650500055 21301000110