Search a number
-
+
11030345100 = 2234524992729
BaseRepresentation
bin10100100010111010…
…11011010110001100
31001110201112120220000
422101131123112030
5140042232020400
65022310324300
7540225246345
oct122135332614
931421476800
1011030345100
114750384595
12217a059690
13106a2c0728
14768d2d0cc
15448585600
hex29175b58c

11030345100 has 180 divisors, whose sum is σ = 35840805000. Its totient is φ = 2934455040.

The previous prime is 11030345099. The next prime is 11030345153. The reversal of 11030345100 is 154303011.

11030345100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (180).

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

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 59 ways as a sum of consecutive naturals, for example, 4040536 + ... + 4043264.

Almost surely, 211030345100 is an apocalyptic number.

11030345100 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 11030345100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17920402500).

11030345100 is an abundant number, since it is smaller than the sum of its proper divisors (24810459900).

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

11030345100 is a wasteful number, since it uses less digits than its factorization.

11030345100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3254 (or 3238 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

Adding to 11030345100 its reverse (154303011), we get a palindrome (11184648111).

It can be divided in two parts, 110303 and 45100, that added together give a triangular number (155403 = T557).

The spelling of 11030345100 in words is "eleven billion, thirty million, three hundred forty-five thousand, one hundred".