Search a number
-
+
1131433300 = 225217665549
BaseRepresentation
bin100001101110000…
…0100110101010100
32220211222202201001
41003130010311110
54304121331200
6304134313044
740016011234
oct10334046524
92824882631
101131433300
11530734648
12276ab8784
1315053817a
14aa3a1cc4
15694e476a
hex43704d54

1131433300 has 36 divisors (see below), whose sum is σ = 2599638300. Its totient is φ = 425950720.

The previous prime is 1131433291. The next prime is 1131433313. The reversal of 1131433300 is 33341311.

It can be written as a sum of positive squares in 6 ways, for example, as 69455556 + 1061977744 = 8334^2 + 32588^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 331075 + ... + 334474.

It is an arithmetic number, because the mean of its divisors is an integer number (72212175).

Almost surely, 21131433300 is an apocalyptic number.

1131433300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1131433300 is an abundant number, since it is smaller than the sum of its proper divisors (1468205000).

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

1131433300 is a wasteful number, since it uses less digits than its factorization.

1131433300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 665580 (or 665573 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 19.

The square root of 1131433300 is about 33636.7849236517. The cubic root of 1131433300 is about 1042.0206339097.

Adding to 1131433300 its reverse (33341311), we get a palindrome (1164774611).

The spelling of 1131433300 in words is "one billion, one hundred thirty-one million, four hundred thirty-three thousand, three hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 100 170 340 425 850 1700 665549 1331098 2662196 3327745 6655490 11314333 13310980 16638725 22628666 33277450 45257332 56571665 66554900 113143330 226286660 282858325 565716650 1131433300