Search a number
-
+
2122031300 = 225221220313
BaseRepresentation
bin111111001111011…
…1010000011000100
312110212222100200212
41332132322003010
513321220000200
6550322254552
7103404653114
oct17636720304
95425870625
102122031300
11999916584
124b27b7458
1327a832a2c
14161b83044
15c646a035
hex7e7ba0c4

2122031300 has 18 divisors (see below), whose sum is σ = 4604808138. Its totient is φ = 848812480.

The previous prime is 2122031281. The next prime is 2122031309. The reversal of 2122031300 is 31302212.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 586802176 + 1535229124 = 24224^2 + 39182^2 .

It is not an unprimeable number, because it can be changed into a prime (2122031309) 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 5 ways as a sum of consecutive naturals, for example, 10610057 + ... + 10610256.

Almost surely, 22122031300 is an apocalyptic number.

2122031300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2122031300 is an abundant number, since it is smaller than the sum of its proper divisors (2482776838).

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

2122031300 is a wasteful number, since it uses less digits than its factorization.

2122031300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21220327 (or 21220320 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 2122031300 is about 46065.5109599362. The cubic root of 2122031300 is about 1285.0418211242.

Adding to 2122031300 its reverse (31302212), we get a palindrome (2153333512).

The spelling of 2122031300 in words is "two billion, one hundred twenty-two million, thirty-one thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 21220313 42440626 84881252 106101565 212203130 424406260 530507825 1061015650 2122031300