Search a number
-
+
20200120200 = 2334521395917
BaseRepresentation
bin10010110100000001…
…010101111110001000
31221010210002102120000
4102310001111332020
5312332212321300
613140234403000
71313402121501
oct226401257610
957123072500
1020200120200
118626494317
123ab8b90460
131b9bca4860
14d98ad9ba8
157d35eac00
hex4b4055f88

20200120200 has 240 divisors, whose sum is σ = 75555567780. Its totient is φ = 4972285440.

The previous prime is 20200120169. The next prime is 20200120207. The reversal of 20200120200 is 202100202.

It can be written as a sum of positive squares in 6 ways, for example, as 4500531396 + 15699588804 = 67086^2 + 125298^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (20200120207) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 162642 + ... + 258558.

Almost surely, 220200120200 is an apocalyptic number.

20200120200 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 20200120200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37777783890).

20200120200 is an abundant number, since it is smaller than the sum of its proper divisors (55355447580).

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

20200120200 is a wasteful number, since it uses less digits than its factorization.

20200120200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95958 (or 95940 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

Adding to 20200120200 its reverse (202100202), we get a palindrome (20402220402).

The spelling of 20200120200 in words is "twenty billion, two hundred million, one hundred twenty thousand, two hundred".