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1322013 = 37115997
BaseRepresentation
bin101000010110000011101
32111011110110
411002300131
5314301023
644200233
714144160
oct5026035
92434413
101322013
11823280
12539079
13373974
14265ad7
151b1a93
hex142c1d

1322013 has 32 divisors (see below), whose sum is σ = 2257920. Its totient is φ = 668160.

The previous prime is 1322011. The next prime is 1322021. The reversal of 1322013 is 3102231.

It is a happy number.

It is not a de Polignac number, because 1322013 - 21 = 1322011 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1322013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1322011) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13581 + ... + 13677.

It is an arithmetic number, because the mean of its divisors is an integer number (70560).

21322013 is an apocalyptic number.

It is an amenable number.

1322013 is a deficient number, since it is larger than the sum of its proper divisors (935907).

1322013 is a wasteful number, since it uses less digits than its factorization.

1322013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177.

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 1322013 is about 1149.7882413732. The cubic root of 1322013 is about 109.7518649268.

Adding to 1322013 its reverse (3102231), we get a palindrome (4424244).

It can be divided in two parts, 132 and 2013, that added together give a triangular number (2145 = T65).

The spelling of 1322013 in words is "one million, three hundred twenty-two thousand, thirteen".

Divisors: 1 3 7 11 21 33 59 77 97 177 231 291 413 649 679 1067 1239 1947 2037 3201 4543 5723 7469 13629 17169 22407 40061 62953 120183 188859 440671 1322013