Search a number
-
+
1365885631 = 11253212987
BaseRepresentation
bin101000101101001…
…1100001010111111
310112012011011211201
41101122130022333
510244131320011
6343311400331
745563556565
oct12132341277
93465134751
101365885631
11641009100
123215230a7
13189c95b66
14cd591a35
157eda6cc1
hex5169c2bf

1365885631 has 12 divisors (see below), whose sum is σ = 1529679816. Its totient is φ = 1218279920.

The previous prime is 1365885607. The next prime is 1365885679.

1365885631 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 1365885631 - 211 = 1365883583 is a prime.

It is a super-2 number, since 2×13658856312 = 3731287113944536322, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1365885691) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 100081 + ... + 112906.

It is an arithmetic number, because the mean of its divisors is an integer number (127473318).

Almost surely, 21365885631 is an apocalyptic number.

1365885631 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1365885631 is a deficient number, since it is larger than the sum of its proper divisors (163794185).

1365885631 is a wasteful number, since it uses less digits than its factorization.

1365885631 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213062 (or 213051 counting only the distinct ones).

The product of its digits is 518400, while the sum is 46.

The square root of 1365885631 is about 36957.8899695315. The cubic root of 1365885631 is about 1109.5276054416.

The spelling of 1365885631 in words is "one billion, three hundred sixty-five million, eight hundred eighty-five thousand, six hundred thirty-one".

Divisors: 1 11 53 121 583 6413 212987 2342857 11288311 25771427 124171421 1365885631