Search a number
-
+
11030302200 = 23352311793313
BaseRepresentation
bin10100100010111010…
…10000110111111000
31001110201110102001010
422101131100313320
5140042224132300
65022305353520
7540225010311
oct122135206770
931421412033
1011030302200
114750355335
12217a0388a0
13106a2a7048
14768d1b608
15448577a50
hex291750df8

11030302200 has 192 divisors, whose sum is σ = 35504870400. Its totient is φ = 2829772800.

The previous prime is 11030302133. The next prime is 11030302289. The reversal of 11030302200 is 220303011.

It is a happy number.

11030302200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent 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 47 ways as a sum of consecutive naturals, for example, 3327744 + ... + 3331056.

It is an arithmetic number, because the mean of its divisors is an integer number (184921200).

Almost surely, 211030302200 is an apocalyptic number.

11030302200 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 11030302200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17752435200).

11030302200 is an abundant number, since it is smaller than the sum of its proper divisors (24474568200).

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

11030302200 is a wasteful number, since it uses less digits than its factorization.

11030302200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3542 (or 3533 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 11030302200 its reverse (220303011), we get a palindrome (11250605211).

The spelling of 11030302200 in words is "eleven billion, thirty million, three hundred two thousand, two hundred".