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21202222201020 = 223257293747333667
BaseRepresentation
bin1001101001000100001101…
…11011000011100010111100
32210001220122022122010100200
410310202012323003202330
510234334122340413040
6113032055540123500
74315544555101050
oct464420673034274
983056568563320
1021202222201020
1168348a27676a3
122465171396590
13baa4900a4293
1453429b961c60
1526b7b9bc6630
hex134886ec38bc

21202222201020 has 576 divisors, whose sum is σ = 79752311009280. Its totient is φ = 4455770425344.

The previous prime is 21202222201019. The next prime is 21202222201021. The reversal of 21202222201020 is 2010222220212.

21202222201020 is a `hidden beast` number, since 2 + 120 + 222 + 220 + 102 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (21202222201019) and next prime (21202222201021).

It is a super-2 number, since 2×212022222010202 (a number of 27 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 21202222200984 and 21202222201002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21202222201021) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 63376227 + ... + 63709893.

It is an arithmetic number, because the mean of its divisors is an integer number (138458873280).

Almost surely, 221202222201020 is an apocalyptic number.

21202222201020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21202222201020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39876155504640).

21202222201020 is an abundant number, since it is smaller than the sum of its proper divisors (58550088808260).

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

21202222201020 is a wasteful number, since it uses less digits than its factorization.

21202222201020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333802 (or 333797 counting only the distinct ones).

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

Adding to 21202222201020 its reverse (2010222220212), we get a palindrome (23212444421232).

It can be divided in two parts, 21202 and 222201020, that added together give a palindrome (222222222).

The spelling of 21202222201020 in words is "twenty-one trillion, two hundred two billion, two hundred twenty-two million, two hundred one thousand, twenty".