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2021000012020 = 225112341103271349
BaseRepresentation
bin11101011010001100111…
…111001110000011110100
321011012112222001222211001
4131122030333032003310
5231103002000341040
64144233512053044
7266004156442633
oct35321477160364
97135488058731
102021000012020
1170a112901720
12287824994184
1311876c1817a2
146db618c751a
153788692d59a
hex1d68cfce0f4

2021000012020 has 384 divisors, whose sum is σ = 5029923225600. Its totient is φ = 674707968000.

The previous prime is 2021000011981. The next prime is 2021000012021. The reversal of 2021000012020 is 202100001202.

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 = 2021000011988 and 2021000012006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2021000012021) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 5790830806 + ... + 5790831154.

It is an arithmetic number, because the mean of its divisors is an integer number (13098758400).

Almost surely, 22021000012020 is an apocalyptic number.

2021000012020 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 2021000012020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2514961612800).

2021000012020 is an abundant number, since it is smaller than the sum of its proper divisors (3008923213580).

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

2021000012020 is a wasteful number, since it uses less digits than its factorization.

2021000012020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 807 (or 805 counting only the distinct ones).

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

2021000012020 divided by its sum of digits (10) gives a palindrome (202100001202).

Adding to 2021000012020 its reverse (202100001202), we get a palindrome (2223100013222).

The spelling of 2021000012020 in words is "two trillion, twenty-one billion, twelve thousand, twenty".