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21265223100 = 223521110496143
BaseRepresentation
bin10011110011100000…
…011000110110111100
32000220000021021001120
4103303200120312330
5322022344114400
613434043310540
71351654261662
oct236340306674
960800237046
1021265223100
119022733950
12415581b450
13200b857564
14105a352c32
15846d8bca0
hex4f3818dbc

21265223100 has 144 divisors (see below), whose sum is σ = 67195699200. Its totient is φ = 5149452800.

The previous prime is 21265223069. The next prime is 21265223101. The reversal of 21265223100 is 132256212.

It is a super-2 number, since 2×212652231002 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21265223101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3458629 + ... + 3464771.

It is an arithmetic number, because the mean of its divisors is an integer number (466636800).

Almost surely, 221265223100 is an apocalyptic number.

21265223100 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 21265223100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33597849600).

21265223100 is an abundant number, since it is smaller than the sum of its proper divisors (45930476100).

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

21265223100 is a wasteful number, since it uses less digits than its factorization.

21265223100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7220 (or 7213 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

Adding to 21265223100 its reverse (132256212), we get a palindrome (21397479312).

The spelling of 21265223100 in words is "twenty-one billion, two hundred sixty-five million, two hundred twenty-three thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 110 132 150 165 220 275 300 330 550 660 825 1049 1100 1650 2098 3147 3300 4196 5245 6143 6294 10490 11539 12286 12588 15735 18429 20980 23078 24572 26225 30715 31470 34617 36858 46156 52450 57695 61430 62940 67573 69234 73716 78675 92145 104900 115390 122860 135146 138468 153575 157350 173085 184290 202719 230780 270292 288475 307150 314700 337865 346170 368580 405438 460725 576950 614300 675730 692340 810876 865425 921450 1013595 1153900 1351460 1689325 1730850 1842900 2027190 3378650 3461700 4054380 5067975 6444007 6757300 10135950 12888014 19332021 20271900 25776028 32220035 38664042 64440070 70884077 77328084 96660105 128880140 141768154 161100175 193320210 212652231 283536308 322200350 354420385 386640420 425304462 483300525 644400700 708840770 850608924 966601050 1063261155 1417681540 1772101925 1933202100 2126522310 3544203850 4253044620 5316305775 7088407700 10632611550 21265223100