Search a number
-
+
2101322120 = 23552533053
BaseRepresentation
bin111110100111111…
…1010000110001000
312102110000020001012
41331033322012020
513300414301440
6544302343052
7103033641362
oct17517720610
95373006035
102101322120
11989161457
124a788aa88
13276461891
1415d111d32
15c4728e65
hex7d3fa188

2101322120 has 16 divisors (see below), whose sum is σ = 4727974860. Its totient is φ = 840528832.

The previous prime is 2101322101. The next prime is 2101322141. The reversal of 2101322120 is 212231012.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 1985415364 + 115906756 = 44558^2 + 10766^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2101322095 and 2101322104.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 26266487 + ... + 26266566.

Almost surely, 22101322120 is an apocalyptic number.

2101322120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2101322120 is an abundant number, since it is smaller than the sum of its proper divisors (2626652740).

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

2101322120 is a wasteful number, since it uses less digits than its factorization.

2101322120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52533064 (or 52533060 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 2101322120 is about 45840.1801916179. The cubic root of 2101322120 is about 1280.8478513589.

Adding to 2101322120 its reverse (212231012), we get a palindrome (2313553132).

The spelling of 2101322120 in words is "two billion, one hundred one million, three hundred twenty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 52533053 105066106 210132212 262665265 420264424 525330530 1050661060 2101322120