Search a number
-
+
2120122020 = 2235172078551
BaseRepresentation
bin111111001011110…
…0111111010100100
312110202101100122210
41332113213322210
513320222401040
6550213323420
7103352511522
oct17627477244
95422340583
102120122020
11998832065
124b2036570
1327a314993
14161807312
15c61de480
hex7e5e7ea4

2120122020 has 48 divisors (see below), whose sum is σ = 6285541248. Its totient is φ = 532108800.

The previous prime is 2120122001. The next prime is 2120122021. The reversal of 2120122020 is 202210212.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 2120121987 and 2120122005.

It is not an unprimeable number, because it can be changed into a prime (2120122021) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1038256 + ... + 1040295.

It is an arithmetic number, because the mean of its divisors is an integer number (130948776).

Almost surely, 22120122020 is an apocalyptic number.

2120122020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2120122020 is an abundant number, since it is smaller than the sum of its proper divisors (4165419228).

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

2120122020 is a wasteful number, since it uses less digits than its factorization.

2120122020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2078580 (or 2078578 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 2120122020 is about 46044.7827663461. The cubic root of 2120122020 is about 1284.6563035847.

Adding to 2120122020 its reverse (202210212), we get a palindrome (2322332232).

The spelling of 2120122020 in words is "two billion, one hundred twenty million, one hundred twenty-two thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 51 60 68 85 102 170 204 255 340 510 1020 2078551 4157102 6235653 8314204 10392755 12471306 20785510 24942612 31178265 35335367 41571020 62356530 70670734 106006101 124713060 141341468 176676835 212012202 353353670 424024404 530030505 706707340 1060061010 2120122020