Search a number
-
+
1631323305 = 325536111213
BaseRepresentation
bin110000100111100…
…0000010010101001
311012200121210212200
41201033000102221
511320104321210
6425512530413
755266006423
oct14117002251
94180553780
101631323305
11767926387
123963b0a09
131ccc82181
14116929813
159833a0c0
hex613c04a9

1631323305 has 48 divisors (see below), whose sum is σ = 2928468816. Its totient is φ = 839554560.

The previous prime is 1631323271. The next prime is 1631323307. The reversal of 1631323305 is 5033231361.

It is a happy number.

1631323305 is a `hidden beast` number, since 1 + 6 + 31 + 323 + 305 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 447068736 + 1184254569 = 21144^2 + 34413^2 .

It is not a de Polignac number, because 1631323305 - 26 = 1631323241 is a prime.

It is a super-2 number, since 2×16313233052 = 5322431450872246050, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1631323307) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 139879 + ... + 151091.

It is an arithmetic number, because the mean of its divisors is an integer number (61009767).

Almost surely, 21631323305 is an apocalyptic number.

1631323305 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1631323305 is a deficient number, since it is larger than the sum of its proper divisors (1297145511).

1631323305 is a wasteful number, since it uses less digits than its factorization.

1631323305 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11338 (or 11335 counting only the distinct ones).

The product of its (nonzero) digits is 4860, while the sum is 27.

The square root of 1631323305 is about 40389.6435364315. The cubic root of 1631323305 is about 1177.1903143830.

Adding to 1631323305 its reverse (5033231361), we get a palindrome (6664554666).

The spelling of 1631323305 in words is "one billion, six hundred thirty-one million, three hundred twenty-three thousand, three hundred five".

Divisors: 1 3 5 9 15 45 53 61 159 183 265 305 477 549 795 915 2385 2745 3233 9699 11213 16165 29097 33639 48495 56065 100917 145485 168195 504585 594289 683993 1782867 2051979 2971445 3419965 5348601 6155937 8914335 10259895 26743005 30779685 36251629 108754887 181258145 326264661 543774435 1631323305