Search a number
-
+
2111050000 = 245542221
BaseRepresentation
bin111110111010100…
…0001000100010000
312110010022110012001
41331311001010100
513310412100000
6545251043344
7103212425503
oct17565010420
95403273161
102111050000
119936a6124
124aaba0554
13278489617
1416052513a
15c54eb46a
hex7dd41110

2111050000 has 60 divisors (see below), whose sum is σ = 5112493092. Its totient is φ = 844400000.

The previous prime is 2111049991. The next prime is 2111050037. The reversal of 2111050000 is 501112.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 1119303936 + 991746064 = 33456^2 + 31492^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 28890 + ... + 71110.

Almost surely, 22111050000 is an apocalyptic number.

2111050000 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 2111050000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2556246546).

2111050000 is an abundant number, since it is smaller than the sum of its proper divisors (3001443092).

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

2111050000 is an frugal number, since it uses more digits than its factorization.

2111050000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42254 (or 42228 counting only the distinct ones).

The product of its (nonzero) digits is 10, while the sum is 10.

The square root of 2111050000 is about 45946.1641489254. The cubic root of 2111050000 is about 1282.8213320861.

Adding to 2111050000 its reverse (501112), we get a palindrome (2111551112).

The spelling of 2111050000 in words is "two billion, one hundred eleven million, fifty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 625 1000 1250 2000 2500 3125 5000 6250 10000 12500 25000 42221 50000 84442 168884 211105 337768 422210 675536 844420 1055525 1688840 2111050 3377680 4222100 5277625 8444200 10555250 16888400 21110500 26388125 42221000 52776250 84442000 105552500 131940625 211105000 263881250 422210000 527762500 1055525000 2111050000