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11330100 = 22325212589
BaseRepresentation
bin101011001110…
…001000110100
3210022121222100
4223032020310
510400030400
61042502100
7165206235
oct53161064
923277870
1011330100
116439521
123964930
132469102
14170d08c
15edc100
hexace234

11330100 has 54 divisors (see below), whose sum is σ = 35516390. Its totient is φ = 3021120.

The previous prime is 11330093. The next prime is 11330117. The reversal of 11330100 is 103311.

It can be written as a sum of positive squares in 3 ways, for example, as 144 + 11329956 = 12^2 + 3366^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a nialpdrome in base 15.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 5395 + ... + 7194.

Almost surely, 211330100 is an apocalyptic number.

11330100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11330100 is an abundant number, since it is smaller than the sum of its proper divisors (24186290).

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

11330100 is a wasteful number, since it uses less digits than its factorization.

11330100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12609 (or 12599 counting only the distinct ones).

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

The square root of 11330100 is about 3366.0213903064. The cubic root of 11330100 is about 224.6007735370.

Adding to 11330100 its reverse (103311), we get a palindrome (11433411).

The spelling of 11330100 in words is "eleven million, three hundred thirty thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 450 900 12589 25178 37767 50356 62945 75534 113301 125890 151068 188835 226602 251780 314725 377670 453204 566505 629450 755340 944175 1133010 1258900 1888350 2266020 2832525 3776700 5665050 11330100