Search a number
-
+
22020202212021 = 3213219240103741
BaseRepresentation
bin1010000000110111110100…
…10101001010101010110101
32212222002222202100001121200
411000123322111022222311
510341234333231241041
6114455535150403113
74431623065343166
oct500337225125265
985862882301550
1022020202212021
11701a7960a0812
1225777b5200499
13c3965b0a2b00
14561ad7bcd76d
15282be17241b6
hex1406fa54aab5

22020202212021 has 54 divisors (see below), whose sum is σ = 36349991645058. Its totient is φ = 12837688418880.

The previous prime is 22020202211989. The next prime is 22020202212157. The reversal of 22020202212021 is 12021220202022.

22020202212021 is a `hidden beast` number, since 220 + 2 + 0 + 20 + 221 + 202 + 1 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 285678491121 + 21734523720900 = 534489^2 + 4662030^2 .

It is not a de Polignac number, because 22020202212021 - 25 = 22020202211989 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 22020202211985 and 22020202212003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22020202212521) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 19502790 + ... + 20600951.

It is an arithmetic number, because the mean of its divisors is an integer number (673147993427).

Almost surely, 222020202212021 is an apocalyptic number.

It is an amenable number.

22020202212021 is a deficient number, since it is larger than the sum of its proper divisors (14329789433037).

22020202212021 is a wasteful number, since it uses less digits than its factorization.

22020202212021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40103811 (or 40103776 counting only the distinct ones).

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

Adding to 22020202212021 its reverse (12021220202022), we get a palindrome (34041422414043).

The spelling of 22020202212021 in words is "twenty-two trillion, twenty billion, two hundred two million, two hundred twelve thousand, twenty-one".

Divisors: 1 3 9 13 19 39 57 117 169 171 247 361 507 741 1083 1521 2223 3211 3249 4693 9633 14079 28899 42237 61009 183027 549081 40103741 120311223 360933669 521348633 761971079 1564045899 2285913237 4692137697 6777532229 6857739711 9905624027 14477450501 20332596687 29716872081 43432351503 60997790061 89150616243 128773112351 130297054509 188206856513 386319337053 564620569539 1158958011159 1693861708617 2446689134669 7340067404007 22020202212021