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20020221010000 = 2454101137314437
BaseRepresentation
bin1001000110101010100100…
…01010010110000001010000
32121212220200121212020122001
410203111102022112001100
510111002403034310000
6110325055040323344
74134261511536541
oct443252212260120
977786617766561
1020020221010000
11641958991a152
1222b4077613554
13b22b8b6c0a03
144d2daba344c8
1524ab8a20b46a
hex123552296050

20020221010000 has 200 divisors, whose sum is σ = 48989913165864. Its totient is φ = 7922476800000.

The previous prime is 20020221009983. The next prime is 20020221010019. The reversal of 20020221010000 is 1012202002.

It can be written as a sum of positive squares in 20 ways, for example, as 10908540684864 + 9111680325136 = 3302808^2 + 3018556^2 .

It is a tau number, because it is divible by the number of its divisors (200).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1386722782 + ... + 1386737218.

Almost surely, 220020221010000 is an apocalyptic number.

20020221010000 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 20020221010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24494956582932).

20020221010000 is an abundant number, since it is smaller than the sum of its proper divisors (28969692155864).

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

20020221010000 is a wasteful number, since it uses less digits than its factorization.

20020221010000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15939 (or 15918 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 20020221010000 its reverse (1012202002), we get a palindrome (20021233212002).

The spelling of 20020221010000 in words is "twenty trillion, twenty billion, two hundred twenty-one million, ten thousand".