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20210120000 = 2654789811
BaseRepresentation
bin10010110100100111…
…011111010101000000
31221011110220110200222
4102310213133111000
5312342242320000
613141233002212
71313553120440
oct226447372500
957143813628
1020210120000
1186310a4314
123b003b3368
131ba10962b5
14d9a180120
157d4423a85
hex4b49df540

20210120000 has 280 divisors, whose sum is σ = 57988687680. Its totient is φ = 6842880000.

The previous prime is 20210119999. The next prime is 20210120009. The reversal of 20210120000 is 2101202.

It is a tau number, because it is divible by the number of its divisors (280).

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a self number, because there is not a number n which added to its sum of digits gives 20210120000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20210120009) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 24919595 + ... + 24920405.

It is an arithmetic number, because the mean of its divisors is an integer number (207102456).

Almost surely, 220210120000 is an apocalyptic number.

20210120000 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 20210120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28994343840).

20210120000 is an abundant number, since it is smaller than the sum of its proper divisors (37778567680).

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

20210120000 is an frugal number, since it uses more digits than its factorization.

20210120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 939 (or 914 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 8.

Adding to 20210120000 its reverse (2101202), we get a palindrome (20212221202).

The spelling of 20210120000 in words is "twenty billion, two hundred ten million, one hundred twenty thousand".