Search a number
-
+
21002444100 = 22335211707153
BaseRepresentation
bin10011100011110101…
…111101110101000100
32000012200210201001000
4103203311331311010
5321003111202400
613352015133300
71342313554311
oct234365756504
960180721030
1021002444100
1189a8372120
1240a1814230
131c9928c421
1410334abd08
1582dc81600
hex4e3d7dd44

21002444100 has 144 divisors (see below), whose sum is σ = 73657160640. Its totient is φ = 5091494400.

The previous prime is 21002444069. The next prime is 21002444129. The reversal of 21002444100 is 144420012.

21002444100 is a `hidden beast` number, since 2 + 10 + 0 + 244 + 410 + 0 = 666.

It is a super-2 number, since 2×210024441002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 323877 + ... + 383276.

It is an arithmetic number, because the mean of its divisors is an integer number (511508060).

Almost surely, 221002444100 is an apocalyptic number.

21002444100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21002444100 is an abundant number, since it is smaller than the sum of its proper divisors (52654716540).

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

21002444100 is a wasteful number, since it uses less digits than its factorization.

21002444100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 707187 (or 707174 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 21002444100 its reverse (144420012), we get a palindrome (21146864112).

The spelling of 21002444100 in words is "twenty-one billion, two million, four hundred forty-four thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 25 27 30 33 36 44 45 50 54 55 60 66 75 90 99 100 108 110 132 135 150 165 180 198 220 225 270 275 297 300 330 396 450 495 540 550 594 660 675 825 900 990 1100 1188 1350 1485 1650 1980 2475 2700 2970 3300 4950 5940 7425 9900 14850 29700 707153 1414306 2121459 2828612 3535765 4242918 6364377 7071530 7778683 8485836 10607295 12728754 14143060 15557366 17678825 19093131 21214590 23336049 25457508 31114732 31821885 35357650 38186262 38893415 42429180 46672098 53036475 63643770 70008147 70715300 76372524 77786830 93344196 95465655 106072950 116680245 127287540 140016294 155573660 159109425 190931310 194467075 210024441 212145900 233360490 280032588 318218850 350040735 381862620 388934150 420048882 466720980 477328275 583401225 636437700 700081470 777868300 840097764 954656550 1050122205 1166802450 1400162940 1750203675 1909313100 2100244410 2333604900 3500407350 4200488820 5250611025 7000814700 10501222050 21002444100