Search a number
-
+
1100004300 = 223452139977
BaseRepresentation
bin100000110010000…
…1011101111001100
32211122212000020000
41001210023233030
54223100114200
6301052524300
736154611423
oct10144135714
92748760200
101100004300
11514a1856a
12268480690
13146b82925
14a61402ba
1566887300
hex4190bbcc

1100004300 has 180 divisors, whose sum is σ = 3595108440. Its totient is φ = 290926080.

The previous prime is 1100004299. The next prime is 1100004317. The reversal of 1100004300 is 34000011.

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 (9).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1125412 + ... + 1126388.

Almost surely, 21100004300 is an apocalyptic number.

1100004300 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 1100004300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1797554220).

1100004300 is an abundant number, since it is smaller than the sum of its proper divisors (2495104140).

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

1100004300 is a wasteful number, since it uses less digits than its factorization.

1100004300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1142 (or 1126 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 1100004300 is about 33166.3127284297. The cubic root of 1100004300 is about 1032.2814605469.

Adding to 1100004300 its reverse (34000011), we get a palindrome (1134004311).

The spelling of 1100004300 in words is "one billion, one hundred million, four thousand, three hundred".