Search a number
-
+
21000220020 = 223251317527909
BaseRepresentation
bin10011100011101101…
…011110110101110100
32000012112121201011200
4103203231132311310
5321002024020040
613351455332500
71342255632153
oct234355366564
960175551150
1021000220020
1189a709313a
1240a0b21130
131c98990cc0
14103308d59a
1582d992630
hex4e3b5ed74

21000220020 has 144 divisors (see below), whose sum is σ = 72636192720. Its totient is φ = 4865200128.

The previous prime is 21000220019. The next prime is 21000220039. The reversal of 21000220020 is 2002200012.

It can be written as a sum of positive squares in 8 ways, for example, as 4462774416 + 16537445604 = 66804^2 + 128598^2 .

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 = 21000219984 and 21000220011.

It is a congruent number.

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, 224175 + ... + 303734.

It is an arithmetic number, because the mean of its divisors is an integer number (504418005).

Almost surely, 221000220020 is an apocalyptic number.

21000220020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21000220020 is an abundant number, since it is smaller than the sum of its proper divisors (51635972700).

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

21000220020 is a wasteful number, since it uses less digits than its factorization.

21000220020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 527954 (or 527949 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

Adding to 21000220020 its reverse (2002200012), we get a palindrome (23002420032).

The spelling of 21000220020 in words is "twenty-one billion, two hundred twenty thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 17 18 20 26 30 34 36 39 45 51 52 60 65 68 78 85 90 102 117 130 153 156 170 180 195 204 221 234 255 260 306 340 390 442 468 510 585 612 663 765 780 884 1020 1105 1170 1326 1530 1989 2210 2340 2652 3060 3315 3978 4420 6630 7956 9945 13260 19890 39780 527909 1055818 1583727 2111636 2639545 3167454 4751181 5279090 6334908 6862817 7918635 8974453 9502362 10558180 13725634 15837270 17948906 19004724 20588451 23755905 26923359 27451268 31674540 34314085 35897812 41176902 44872265 47511810 53846718 61765353 68628170 80770077 82353804 89744530 95023620 102942255 107693436 116667889 123530706 134616795 137256340 161540154 179489060 205884510 233335778 247061412 269233590 308826765 323080308 350003667 403850385 411769020 466671556 538467180 583339445 617653530 700007334 807700770 1050011001 1166678890 1235307060 1400014668 1615401540 1750018335 2100022002 2333357780 3500036670 4200044004 5250055005 7000073340 10500110010 21000220020