Search a number
-
+
11212221300 = 2235274722417
BaseRepresentation
bin10100111000100110…
…01110101101110100
31001221101202212010120
422130103032231310
5140430312040200
65052324451540
7544564210560
oct123423165564
931841685116
1011212221300
1148340088a5
12220ab49bb0
131098ba0597
147851546a0
1545950e9a0
hex29c4ceb74

11212221300 has 216 divisors, whose sum is σ = 37896366144. Its totient is φ = 2507228160.

The previous prime is 11212221283. The next prime is 11212221301. The reversal of 11212221300 is 312221211.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 11212221300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11212221301) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4637692 + ... + 4640108.

Almost surely, 211212221300 is an apocalyptic number.

11212221300 is a gapful number since it is divisible by the number (10) 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 11212221300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18948183072).

11212221300 is an abundant number, since it is smaller than the sum of its proper divisors (26684144844).

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

11212221300 is a wasteful number, since it uses less digits than its factorization.

11212221300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2535 (or 2481 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 11212221300 its reverse (312221211), we get a palindrome (11524442511).

The spelling of 11212221300 in words is "eleven billion, two hundred twelve million, two hundred twenty-one thousand, three hundred".