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21202233001020 = 22325971011031131033
BaseRepresentation
bin1001101001000100001111…
…00100010000010000111100
32210001220200001221211011200
410310202013210100100330
510234334133122013040
6113032101003415500
74315545045641661
oct464420744202074
983056601854150
1021202233001020
1168348a8873915
122465174b24590
13baa4923b6006
1453429d173a68
1526b7bab0b630
hex13488791043c

21202233001020 has 576 divisors, whose sum is σ = 66907933956864. Its totient is φ = 5432632934400.

The previous prime is 21202233000989. The next prime is 21202233001031. The reversal of 21202233001020 is 2010033220212.

21202233001020 is a `hidden beast` number, since 2 + 120 + 223 + 300 + 1 + 0 + 20 = 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 = 21202233000984 and 21202233001002.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 20524910424 + ... + 20524911456.

It is an arithmetic number, because the mean of its divisors is an integer number (116159607564).

Almost surely, 221202233001020 is an apocalyptic number.

21202233001020 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 21202233001020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33453966978432).

21202233001020 is an abundant number, since it is smaller than the sum of its proper divisors (45705700955844).

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

21202233001020 is a wasteful number, since it uses less digits than its factorization.

21202233001020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1462 (or 1457 counting only the distinct ones).

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

Adding to 21202233001020 its reverse (2010033220212), we get a palindrome (23212266221232).

The spelling of 21202233001020 in words is "twenty-one trillion, two hundred two billion, two hundred thirty-three million, one thousand, twenty".