Search a number
-
+
11112414300 = 22355213291213
BaseRepresentation
bin10100101100101100…
…11111110001011100
31001200102222010200000
422112112133301130
5140224234224200
65034401334300
7542242651221
oct122626376134
931612863600
1011112414300
114792739379
1221a1637390
1310812c68a0
14775bb3948
15450897300
hex29659fc5c

11112414300 has 432 divisors, whose sum is σ = 40274401440. Its totient is φ = 2638863360.

The previous prime is 11112414289. The next prime is 11112414307. The reversal of 11112414300 is 341421111.

11112414300 is a `hidden beast` number, since 111 + 124 + 1 + 430 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11112414307) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 9160494 + ... + 9161706.

Almost surely, 211112414300 is an apocalyptic number.

11112414300 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 11112414300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20137200720).

11112414300 is an abundant number, since it is smaller than the sum of its proper divisors (29161987140).

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

11112414300 is a wasteful number, since it uses less digits than its factorization.

11112414300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1284 (or 1265 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 11112414300 its reverse (341421111), we get a palindrome (11453835411).

The spelling of 11112414300 in words is "eleven billion, one hundred twelve million, four hundred fourteen thousand, three hundred".