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2020212100000 = 25551011391439
BaseRepresentation
bin11101011001011110000…
…001100100101110100000
321011010112001110220201101
4131121132001210232200
5231044343244200000
64144023404244144
7265645511343223
oct35313601445640
97133461426641
102020212100000
11709849077766
12287644b40654
13118674b71963
146dac8dc75ba
153783c692e6a
hex1d65e064ba0

2020212100000 has 288 divisors, whose sum is σ = 5060151129600. Its totient is φ = 793776000000.

The previous prime is 2020212099953. The next prime is 2020212100007. The reversal of 2020212100000 is 12120202.

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

It is a self number, because there is not a number n which added to its sum of digits gives 2020212100000.

It is not an unprimeable number, because it can be changed into a prime (2020212100007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1403899281 + ... + 1403900719.

It is an arithmetic number, because the mean of its divisors is an integer number (17569969200).

Almost surely, 22020212100000 is an apocalyptic number.

2020212100000 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 2020212100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2530075564800).

2020212100000 is an abundant number, since it is smaller than the sum of its proper divisors (3039939029600).

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

2020212100000 is a wasteful number, since it uses less digits than its factorization.

2020212100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1714 (or 1686 counting only the distinct ones).

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

Adding to 2020212100000 its reverse (12120202), we get a palindrome (2020224220202).

It can be divided in two parts, 2020212 and 100000, that added together give a palindrome (2120212).

The spelling of 2020212100000 in words is "two trillion, twenty billion, two hundred twelve million, one hundred thousand".