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20021021020 = 225711132431789
BaseRepresentation
bin10010101001010110…
…001000100101011100
31220200022002020200001
4102221112020211130
5312000340133040
613110355544044
71306065604450
oct225126104534
956608066601
1020021021020
118544387470
123a68bbb024
131b70b57a00
14d7cdd8660
157c2a1e59a
hex4a958895c

20021021020 has 288 divisors, whose sum is σ = 58113538560. Its totient is φ = 5623188480.

The previous prime is 20021020991. The next prime is 20021021021. The reversal of 20021021020 is 2012012002.

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

It is a junction number, because it is equal to n+sod(n) for n = 20021020988 and 20021021006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20021021021) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11190286 + ... + 11192074.

It is an arithmetic number, because the mean of its divisors is an integer number (201783120).

Almost surely, 220021021020 is an apocalyptic number.

20021021020 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 20021021020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29056769280).

20021021020 is an abundant number, since it is smaller than the sum of its proper divisors (38092517540).

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

20021021020 is a wasteful number, since it uses less digits than its factorization.

20021021020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1885 (or 1870 counting only the distinct ones).

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

Adding to 20021021020 its reverse (2012012002), we get a palindrome (22033033022).

The spelling of 20021021020 in words is "twenty billion, twenty-one million, twenty-one thousand, twenty".