Search a number
-
+
11302100 = 2252113021
BaseRepresentation
bin101011000111…
…010011010100
3210021012120022
4223013103110
510343131400
61042124312
7165031505
oct53072324
923235508
1011302100
11641a487
123950698
132459444
141702bac
15ed3b85
hexac74d4

11302100 has 18 divisors (see below), whose sum is σ = 24525774. Its totient is φ = 4520800.

The previous prime is 11302063. The next prime is 11302121. The reversal of 11302100 is 120311.

11302100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 1592644 + 9709456 = 1262^2 + 3116^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 56411 + ... + 56610.

It is an arithmetic number, because the mean of its divisors is an integer number (1362543).

Almost surely, 211302100 is an apocalyptic number.

11302100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11302100 is an abundant number, since it is smaller than the sum of its proper divisors (13223674).

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

11302100 is a wasteful number, since it uses less digits than its factorization.

11302100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113035 (or 113028 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 8.

The square root of 11302100 is about 3361.8596044451. The cubic root of 11302100 is about 224.4156027886.

Adding to 11302100 its reverse (120311), we get a palindrome (11422411).

The spelling of 11302100 in words is "eleven million, three hundred two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 113021 226042 452084 565105 1130210 2260420 2825525 5651050 11302100