Search a number
-
+
2100808512 = 263211418087
BaseRepresentation
bin111110100110111…
…1100101101000000
312102102001010111200
41331031330231000
513300301333022
6544243341200
7103026402105
oct17515745500
95372033450
102100808512
11988940590
124a7681800
13276311b7a
1415d01aaac
15c4676bac
hex7d37cb40

2100808512 has 168 divisors, whose sum is σ = 6730057152. Its totient is φ = 621004800.

The previous prime is 2100808499. The next prime is 2100808519. The reversal of 2100808512 is 2158080012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2100808519) 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 23 ways as a sum of consecutive naturals, for example, 255733 + ... + 263819.

It is an arithmetic number, because the mean of its divisors is an integer number (40059864).

Almost surely, 22100808512 is an apocalyptic number.

2100808512 is a gapful number since it is divisible by the number (22) 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 2100808512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3365028576).

2100808512 is an abundant number, since it is smaller than the sum of its proper divisors (4629248640).

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

2100808512 is a wasteful number, since it uses less digits than its factorization.

2100808512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8157 (or 8144 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 27.

The square root of 2100808512 is about 45834.5776897748. The cubic root of 2100808512 is about 1280.7434873330.

Adding to 2100808512 its reverse (2158080012), we get a palindrome (4258888524).

The spelling of 2100808512 in words is "two billion, one hundred million, eight hundred eight thousand, five hundred twelve".