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21202020222120 = 233252571277179453
BaseRepresentation
bin1001101001000011110101…
…11000100100010010101000
32210001220010020120112101200
410310201322320210102220
510234333214134101440
6113032023523044200
74315536553232223
oct464417270442250
983056106515350
1021202020222120
1168347a9752991
122465115810660
13baa45a2a633a
1453427cbc65ba
1526b7a70cac30
hex13487ae244a8

21202020222120 has 192 divisors, whose sum is σ = 69229240114320. Its totient is φ = 5627430961152.

The previous prime is 21202020222101. The next prime is 21202020222121. The reversal of 21202020222120 is 2122202020212.

21202020222120 is a `hidden beast` number, since 2 + 120 + 202 + 0 + 222 + 120 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 20783149793316 + 418870428804 = 4558854^2 + 647202^2 .

It is a super-2 number, since 2×212020202221202 (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 = 21202020222093 and 21202020222102.

It is not an unprimeable number, because it can be changed into a prime (21202020222121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 118058314 + ... + 118237766.

Almost surely, 221202020222120 is an apocalyptic number.

21202020222120 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 21202020222120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34614620057160).

21202020222120 is an abundant number, since it is smaller than the sum of its proper divisors (48027219892200).

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

21202020222120 is a wasteful number, since it uses less digits than its factorization.

21202020222120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181004 (or 180997 counting only the distinct ones).

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

Adding to 21202020222120 its reverse (2122202020212), we get a palindrome (23324222242332).

The spelling of 21202020222120 in words is "twenty-one trillion, two hundred two billion, twenty million, two hundred twenty-two thousand, one hundred twenty".