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21223300021020 = 223251989377918451
BaseRepresentation
bin1001101001101011011110…
…10000100011101100011100
32210010221001021021022200200
410310311233100203230130
510240210304301133040
6113045503251023500
74320222105442236
oct464655720435434
983127037238620
1021223300021020
116842829631849
12246927429ab90
13bac46bb65116
145352db051256
1526c100396630
hex134d6f423b1c

21223300021020 has 288 divisors, whose sum is σ = 68548884768000. Its totient is φ = 5299742131200.

The previous prime is 21223300021009. The next prime is 21223300021061. The reversal of 21223300021020 is 2012000332212.

21223300021020 is a `hidden beast` number, since 2 + 122 + 330 + 0 + 0 + 210 + 2 + 0 = 666.

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 = 21223300020984 and 21223300021002.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1150242795 + ... + 1150261245.

It is an arithmetic number, because the mean of its divisors is an integer number (238016961000).

Almost surely, 221223300021020 is an apocalyptic number.

21223300021020 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 21223300021020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34274442384000).

21223300021020 is an abundant number, since it is smaller than the sum of its proper divisors (47325584746980).

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

21223300021020 is a wasteful number, since it uses less digits than its factorization.

21223300021020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22353 (or 22348 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 21223300021020 its reverse (2012000332212), we get a palindrome (23235300353232).

The spelling of 21223300021020 in words is "twenty-one trillion, two hundred twenty-three billion, three hundred million, twenty-one thousand, twenty".