Search a number
-
+
2311133130 = 232527979181
BaseRepresentation
bin1000100111000001…
…0001011111001010
312222001210201122100
42021300101133022
514213122230010
61021155334230
7111162210315
oct21160213712
95861721570
102311133130
11a86635589
12545bb1376
132aaa726c7
1417cd2997c
15d7d702c0
hex89c117ca

2311133130 has 48 divisors (see below), whose sum is σ = 6011749224. Its totient is φ = 616014720.

The previous prime is 2311133117. The next prime is 2311133131. The reversal of 2311133130 is 313311132.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 2153052801 + 158080329 = 46401^2 + 12573^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (2311133131) 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, 247140 + ... + 256320.

Almost surely, 22311133130 is an apocalyptic number.

2311133130 is an abundant number, since it is smaller than the sum of its proper divisors (3700616094).

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

2311133130 is a wasteful number, since it uses less digits than its factorization.

2311133130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11991 (or 11988 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

The square root of 2311133130 is about 48074.2460159283. The cubic root of 2311133130 is about 1322.1325205907.

Adding to 2311133130 its reverse (313311132), we get a palindrome (2624444262).

The spelling of 2311133130 in words is "two billion, three hundred eleven million, one hundred thirty-three thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 2797 5594 8391 9181 13985 16782 18362 25173 27543 27970 41955 45905 50346 55086 82629 83910 91810 125865 137715 165258 251730 275430 413145 826290 25679257 51358514 77037771 128396285 154075542 231113313 256792570 385188855 462226626 770377710 1155566565 2311133130