Search a number
-
+
1300232133 = 323725715193
BaseRepresentation
bin100110101111111…
…1111011111000101
310100121121122011200
41031133333133011
510130324412013
6333004253113
744135535144
oct11537773705
93317548150
101300232133
11607a46712
12303541199
131794b9835
14c498175b
1579238e73
hex4d7ff7c5

1300232133 has 24 divisors (see below), whose sum is σ = 1936505688. Its totient is φ = 840056832.

The previous prime is 1300232119. The next prime is 1300232137. The reversal of 1300232133 is 3312320031.

1300232133 is a `hidden beast` number, since 1 + 300 + 232 + 133 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1192113729 + 108118404 = 34527^2 + 10398^2 .

It is not a de Polignac number, because 1300232133 - 24 = 1300232117 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1300232137) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 77985 + ... + 93177.

It is an arithmetic number, because the mean of its divisors is an integer number (80687737).

Almost surely, 21300232133 is an apocalyptic number.

It is an amenable number.

1300232133 is a deficient number, since it is larger than the sum of its proper divisors (636273555).

1300232133 is a wasteful number, since it uses less digits than its factorization.

1300232133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15493 (or 15490 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 1300232133 is about 36058.7317164650. The cubic root of 1300232133 is about 1091.4578402985.

Adding to 1300232133 its reverse (3312320031), we get a palindrome (4612552164).

The spelling of 1300232133 in words is "one billion, three hundred million, two hundred thirty-two thousand, one hundred thirty-three".

Divisors: 1 3 9 37 111 257 333 771 2313 9509 15193 28527 45579 85581 136737 562141 1686423 3904601 5059269 11713803 35141409 144470237 433410711 1300232133