Search a number
-
+
1305132631 = 112338313469
BaseRepresentation
bin100110111001010…
…1011111001010111
310100221211121101121
41031302223321113
510133103221011
6333301304411
744225305255
oct11562537127
93327747347
101305132631
1160a793510
12305105107
1317a51423a
14c54995d5
15798a5e71
hex4dcabe57

1305132631 has 16 divisors (see below), whose sum is σ = 1489674240. Its totient is φ = 1131850720.

The previous prime is 1305132611. The next prime is 1305132659. The reversal of 1305132631 is 1362315031.

It is not a de Polignac number, because 1305132631 - 25 = 1305132599 is a prime.

It is a super-2 number, since 2×13051326312 = 3406742369001964322, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1305132596 and 1305132605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1305132611) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 90165 + ... + 103633.

It is an arithmetic number, because the mean of its divisors is an integer number (93104640).

Almost surely, 21305132631 is an apocalyptic number.

1305132631 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1305132631 is a deficient number, since it is larger than the sum of its proper divisors (184541609).

1305132631 is a wasteful number, since it uses less digits than its factorization.

1305132631 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13886.

The product of its (nonzero) digits is 1620, while the sum is 25.

The square root of 1305132631 is about 36126.6194239096. The cubic root of 1305132631 is about 1092.8273345692.

Adding to 1305132631 its reverse (1362315031), we get a palindrome (2667447662).

The spelling of 1305132631 in words is "one billion, three hundred five million, one hundred thirty-two thousand, six hundred thirty-one".

Divisors: 1 11 23 253 383 4213 8809 13469 96899 148159 309787 3407657 5158627 56744897 118648421 1305132631