Search a number
-
+
2020020002000 = 24537211131761139
BaseRepresentation
bin11101011001010010100…
…100110001110011010000
321011010000200000022210122
4131121102210301303100
5231044000110031000
64143552343045412
7265640656466600
oct35312244616320
97133020008718
102020020002000
1170975a6a1690
122875b0740868
131186441232c0
146daab6a0c00
153782a89a085
hex1d652931cd0

2020020002000 has 1920 divisors, whose sum is σ = 7235401904640. Its totient is φ = 534159360000.

The previous prime is 2020020001981. The next prime is 2020020002003. The reversal of 2020020002000 is 2000200202.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2020020002003) 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 383 ways as a sum of consecutive naturals, for example, 14532517931 + ... + 14532518069.

It is an arithmetic number, because the mean of its divisors is an integer number (3768438492).

Almost surely, 22020020002000 is an apocalyptic number.

2020020002000 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 2020020002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3617700952320).

2020020002000 is an abundant number, since it is smaller than the sum of its proper divisors (5215381902640).

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

2020020002000 is a wasteful number, since it uses less digits than its factorization.

2020020002000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278 (or 255 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 8.

Adding to 2020020002000 its reverse (2000200202), we get a palindrome (2022020202202).

The spelling of 2020020002000 in words is "two trillion, twenty billion, twenty million, two thousand".