Search a number
-
+
2010210000020 = 2251738771524989
BaseRepresentation
bin11101010000001001110…
…110100101110010010100
321010011200222202120221222
4131100021312211302110
5230413402230000040
64135251104425512
7265142610033665
oct35201166456224
97104628676858
102010210000020
11705586158a32
12285713318298
1311773c8ca6c1
146d41a87936c
153745451cbb5
hex1d409da5c94

2010210000020 has 48 divisors (see below), whose sum is σ = 4470916882320. Its totient is φ = 756589246464.

The previous prime is 2010210000017. The next prime is 2010210000049. The reversal of 2010210000020 is 200000120102.

It can be written as a sum of positive squares in 8 ways, for example, as 96519576976 + 1913690423044 = 310676^2 + 1383362^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2010209999962 and 2010210000007.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 555686 + ... + 2080674.

It is an arithmetic number, because the mean of its divisors is an integer number (93144101715).

Almost surely, 22010210000020 is an apocalyptic number.

2010210000020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2010210000020 is an abundant number, since it is smaller than the sum of its proper divisors (2460706882300).

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

2010210000020 is a wasteful number, since it uses less digits than its factorization.

2010210000020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1528892 (or 1528890 counting only the distinct ones).

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

Adding to 2010210000020 its reverse (200000120102), we get a palindrome (2210210120122).

The spelling of 2010210000020 in words is "two trillion, ten billion, two hundred ten million, twenty", and thus it is an aban number.

Divisors: 1 2 4 5 10 17 20 34 68 85 170 340 3877 7754 15508 19385 38770 65909 77540 131818 263636 329545 659090 1318180 1524989 3049978 6099956 7624945 15249890 25924813 30499780 51849626 103699252 129624065 259248130 518496260 5912382353 11824764706 23649529412 29561911765 59123823530 100510500001 118247647060 201021000002 402042000004 502552500005 1005105000010 2010210000020