Search a number
-
+
11200002012 = 22321074097109
BaseRepresentation
bin10100110111001001…
…00111011111011100
31001220112210001102100
422123210213133130
5140414200031022
65051210525100
7544355306043
oct123344473734
931815701370
1011200002012
114828122311
122206a36790
1310964b2834
1478369355a
154583e91ac
hex29b9277dc

11200002012 has 72 divisors (see below), whose sum is σ = 28649602800. Its totient is φ = 3688881408.

The previous prime is 11200001993. The next prime is 11200002019. The reversal of 11200002012 is 21020000211.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 11200001985 and 11200002003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11200002019) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1571914 + ... + 1579022.

It is an arithmetic number, because the mean of its divisors is an integer number (397911150).

Almost surely, 211200002012 is an apocalyptic number.

11200002012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11200002012 is an abundant number, since it is smaller than the sum of its proper divisors (17449600788).

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

11200002012 is a wasteful number, since it uses less digits than its factorization.

11200002012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7635 (or 7630 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 11200002012 its reverse (21020000211), we get a palindrome (32220002223).

The spelling of 11200002012 in words is "eleven billion, two hundred million, two thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 36 107 214 321 409 428 642 818 963 1227 1284 1636 1926 2454 3681 3852 4908 7109 7362 14218 14724 21327 28436 42654 43763 63981 85308 87526 127962 131289 175052 255924 262578 393867 525156 760663 787734 1521326 1575468 2281989 2907581 3042652 4563978 5815162 6845967 8722743 9127956 11630324 13691934 17445486 26168229 27383868 34890972 52336458 104672916 311111167 622222334 933333501 1244444668 1866667002 2800000503 3733334004 5600001006 11200002012