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21020222020221 = 324733638977237
BaseRepresentation
bin1001100011110001001101…
…10111011101101001111101
32202102111212102011222212200
410301320212313131221331
510223343403314121341
6112412320124422113
74266442461064044
oct461704667355175
982374772158780
1021020222020221
116774698375036
122435a399a7939
13b96276c512c8
1452955426155b
15266bb6ac1db6
hex131e26ddda7d

21020222020221 has 24 divisors (see below), whose sum is σ = 30374104564440. Its totient is φ = 14008146262656.

The previous prime is 21020222020219. The next prime is 21020222020223. The reversal of 21020222020221 is 12202022202012.

21020222020221 is a `hidden beast` number, since 2 + 1 + 0 + 202 + 220 + 20 + 221 = 666.

It is an interprime number because it is at equal distance from previous prime (21020222020219) and next prime (21020222020223).

It can be written as a sum of positive squares in 4 ways, for example, as 5345986755321 + 15674235264900 = 2312139^2 + 3959070^2 .

It is not a de Polignac number, because 21020222020221 - 21 = 21020222020219 is a prime.

It is a super-3 number, since 3×210202220202213 (a number of 41 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 21020222020194 and 21020222020203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21020222020223) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 272113615 + ... + 272190851.

It is an arithmetic number, because the mean of its divisors is an integer number (1265587690185).

Almost surely, 221020222020221 is an apocalyptic number.

It is an amenable number.

21020222020221 is a deficient number, since it is larger than the sum of its proper divisors (9353882544219).

21020222020221 is a wasteful number, since it uses less digits than its factorization.

21020222020221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88365 (or 88362 counting only the distinct ones).

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

Adding to 21020222020221 its reverse (12202022202012), we get a palindrome (33222244222233).

The spelling of 21020222020221 in words is "twenty-one trillion, twenty billion, two hundred twenty-two million, twenty thousand, two hundred twenty-one".

Divisors: 1 3 9 4733 6389 14199 19167 42597 57501 77237 231711 695133 30239137 90717411 272152233 365562721 493467193 1096688163 1480401579 3290064489 4441204737 2335580224469 7006740673407 21020222020221