Search a number
-
+
2120000020 = 225106000001
BaseRepresentation
bin111111001011100…
…1010001000010100
312110202011011022021
41332113022020110
513320210000040
6550210542524
7103351463035
oct17627121024
95422134267
102120000020
11998759436
124b1b97a44
1327a2a12a8
141617b4a8c
15c61b824a
hex7e5ca214

2120000020 has 12 divisors (see below), whose sum is σ = 4452000084. Its totient is φ = 848000000.

The previous prime is 2120000017. The next prime is 2120000023. The reversal of 2120000020 is 200000212.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2120000017) and next prime (2120000023).

It can be written as a sum of positive squares in 2 ways, for example, as 1275632656 + 844367364 = 35716^2 + 29058^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2119999958 and 2120000012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2120000023) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 52999981 + ... + 53000020.

It is an arithmetic number, because the mean of its divisors is an integer number (371000007).

Almost surely, 22120000020 is an apocalyptic number.

2120000020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2120000020 is an abundant number, since it is smaller than the sum of its proper divisors (2332000064).

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

2120000020 is a wasteful number, since it uses less digits than its factorization.

2120000020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106000010 (or 106000008 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 7.

The square root of 2120000020 is about 46043.4579500715. The cubic root of 2120000020 is about 1284.6316617522.

Adding to 2120000020 its reverse (200000212), we get a palindrome (2320000232).

The spelling of 2120000020 in words is "two billion, one hundred twenty million, twenty", and thus it is an aban number.

Divisors: 1 2 4 5 10 20 106000001 212000002 424000004 530000005 1060000010 2120000020