Search a number
-
+
1331022501133 = 131371398836089
BaseRepresentation
bin10011010111100111000…
…111111001010100001101
311201020121020122210110121
4103113213013321110031
5133301413230014013
62455244023304541
7165106656405163
oct23274707712415
94636536583417
101331022501133
11473535558486
12195b648ab151
13986902773a0
14485c971b233
15249526c758d
hex135e71f950d

1331022501133 has 32 divisors (see below), whose sum is σ = 1456145308800. Its totient is φ = 1209323437056.

The previous prime is 1331022501113. The next prime is 1331022501143. The reversal of 1331022501133 is 3311052201331.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1331022501133 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1331022501098 and 1331022501107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1331022501113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 218591553 + ... + 218597641.

It is an arithmetic number, because the mean of its divisors is an integer number (45504540900).

Almost surely, 21331022501133 is an apocalyptic number.

1331022501133 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1331022501133 is a deficient number, since it is larger than the sum of its proper divisors (125122807667).

1331022501133 is a wasteful number, since it uses less digits than its factorization.

1331022501133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7261.

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

Adding to 1331022501133 its reverse (3311052201331), we get a palindrome (4642074702464).

The spelling of 1331022501133 in words is "one trillion, three hundred thirty-one billion, twenty-two million, five hundred one thousand, one hundred thirty-three".

Divisors: 1 13 137 139 883 1781 1807 6089 11479 19043 79157 120971 122737 247559 834193 846371 1572623 1595581 5376587 10844509 11002823 16814969 69895631 115952827 218594597 736592419 747345593 1507386751 9575701447 9715492709 102386346241 1331022501133