Search a number
-
+
1310404304133 = 32145600478237
BaseRepresentation
bin10011000100011010001…
…011101101110100000101
311122021101022212212100200
4103010122023231310011
5132432202000213013
62441554052001113
7163450016542521
oct23043213556405
94567338785320
101310404304133
11465815081951
12191b6b900199
13967557a2312
14475d12b2d81
1524147546e73
hex1311a2edd05

1310404304133 has 6 divisors (see below), whose sum is σ = 1892806217094. Its totient is φ = 873602869416.

The previous prime is 1310404304113. The next prime is 1310404304161. The reversal of 1310404304133 is 3314034040131.

1310404304133 is a `hidden beast` number, since 1 + 310 + 40 + 4 + 304 + 1 + 3 + 3 = 666.

It can be written as a sum of positive squares in only one way, i.e., 810248419044 + 500155885089 = 900138^2 + 707217^2 .

It is not a de Polignac number, because 1310404304133 - 28 = 1310404303877 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1310404304097 and 1310404304106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1310404304113) 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 5 ways as a sum of consecutive naturals, for example, 72800239110 + ... + 72800239127.

It is an arithmetic number, because the mean of its divisors is an integer number (315467702849).

Almost surely, 21310404304133 is an apocalyptic number.

It is an amenable number.

1310404304133 is a deficient number, since it is larger than the sum of its proper divisors (582401912961).

1310404304133 is a wasteful number, since it uses less digits than its factorization.

1310404304133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145600478243 (or 145600478240 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 1310404304133 its reverse (3314034040131), we get a palindrome (4624438344264).

The spelling of 1310404304133 in words is "one trillion, three hundred ten billion, four hundred four million, three hundred four thousand, one hundred thirty-three".

Divisors: 1 3 9 145600478237 436801434711 1310404304133