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21002200020 = 2234512964321
BaseRepresentation
bin10011100011110101…
…000010001111010100
32000012200100022020000
4103203311002033110
5321003030400040
613352010011300
71342311516564
oct234365021724
960180308200
1021002200020
1189a82157aa
1240a1716b30
131c992052b9
141033446da4
1582dc34130
hex4e3d423d4

21002200020 has 60 divisors (see below), whose sum is σ = 65884684404. Its totient is φ = 5600586240.

The previous prime is 21002199989. The next prime is 21002200097. The reversal of 21002200020 is 2000220012.

It can be written as a sum of positive squares in 2 ways, for example, as 4196707524 + 16805492496 = 64782^2 + 129636^2 .

It is a tau number, because it is divible by the number of its divisors (60).

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 = 21002199975 and 21002200011.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 6480541 + ... + 6483780.

Almost surely, 221002200020 is an apocalyptic number.

21002200020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21002200020 is an abundant number, since it is smaller than the sum of its proper divisors (44882484384).

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

21002200020 is a wasteful number, since it uses less digits than its factorization.

21002200020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12964342 (or 12964331 counting only the distinct ones).

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

Adding to 21002200020 its reverse (2000220012), we get a palindrome (23002420032).

The spelling of 21002200020 in words is "twenty-one billion, two million, two hundred thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 270 324 405 540 810 1620 12964321 25928642 38892963 51857284 64821605 77785926 116678889 129643210 155571852 194464815 233357778 259286420 350036667 388929630 466715556 583394445 700073334 777859260 1050110001 1166788890 1400146668 1750183335 2100220002 2333577780 3500366670 4200440004 5250550005 7000733340 10501100010 21002200020