Search a number
-
+
2112023300 = 2252238591069
BaseRepresentation
bin111110111100010…
…1110101100000100
312110012010220022012
41331320232230010
513311134221200
6545323553352
7103223621222
oct17570565404
95405126265
102112023300
11994200402
124ab38b858
1327873a63a
141606d9b12
15c563ea35
hex7de2eb04

2112023300 has 72 divisors (see below), whose sum is σ = 4792401600. Its totient is φ = 806382720.

The previous prime is 2112023269. The next prime is 2112023317. The reversal of 2112023300 is 33202112.

It is a happy number.

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 23 ways as a sum of consecutive naturals, for example, 1975166 + ... + 1976234.

Almost surely, 22112023300 is an apocalyptic number.

2112023300 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 2112023300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2396200800).

2112023300 is an abundant number, since it is smaller than the sum of its proper divisors (2680378300).

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

2112023300 is a wasteful number, since it uses less digits than its factorization.

2112023300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1965 (or 1958 counting only the distinct ones).

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

The square root of 2112023300 is about 45956.7546721916. The cubic root of 2112023300 is about 1283.0184501344.

Adding to 2112023300 its reverse (33202112), we get a palindrome (2145225412).

The spelling of 2112023300 in words is "two billion, one hundred twelve million, twenty-three thousand, three hundred".

Divisors: 1 2 4 5 10 20 23 25 46 50 92 100 115 230 460 575 859 1069 1150 1718 2138 2300 3436 4276 4295 5345 8590 10690 17180 19757 21380 21475 24587 26725 39514 42950 49174 53450 79028 85900 98348 98785 106900 122935 197570 245870 395140 491740 493925 614675 918271 987850 1229350 1836542 1975700 2458700 3673084 4591355 9182710 18365420 21120233 22956775 42240466 45913550 84480932 91827100 105601165 211202330 422404660 528005825 1056011650 2112023300