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1331312213 = 72113836449
BaseRepresentation
bin100111101011010…
…0011011001010101
310102210002200000202
41033112203121111
510211303442323
6340034350245
744663652500
oct11726433125
93383080022
101331312213
11623544630
12311a2b385
13182a7c30a
14c8b52137
157bd27d28
hex4f5a3655

1331312213 has 24 divisors (see below), whose sum is σ = 1694131200. Its totient is φ = 1034517120.

The previous prime is 1331312201. The next prime is 1331312221. The reversal of 1331312213 is 3122131331.

It is not a de Polignac number, because 1331312213 - 26 = 1331312149 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1331312113) 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 23 ways as a sum of consecutive naturals, for example, 203213 + ... + 209661.

It is an arithmetic number, because the mean of its divisors is an integer number (70588800).

Almost surely, 21331312213 is an apocalyptic number.

It is an amenable number.

1331312213 is a deficient number, since it is larger than the sum of its proper divisors (362818987).

1331312213 is a wasteful number, since it uses less digits than its factorization.

1331312213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6857 (or 6850 counting only the distinct ones).

The product of its digits is 324, while the sum is 20.

The square root of 1331312213 is about 36487.1513412598. The cubic root of 1331312213 is about 1100.0860023667.

Adding to 1331312213 its reverse (3122131331), we get a palindrome (4453443544).

The spelling of 1331312213 in words is "one billion, three hundred thirty-one million, three hundred twelve thousand, two hundred thirteen".

Divisors: 1 7 11 49 77 383 539 2681 4213 6449 18767 29491 45143 70939 206437 316001 496573 2469967 3476011 17289769 27169637 121028383 190187459 1331312213