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1331311323 = 3193232997
BaseRepresentation
bin100111101011010…
…0011001011011011
310102210002121210210
41033112203023123
510211303430243
6340034342203
744663650056
oct11726431333
93383077723
101331311323
116235439a1
12311a2a963
13182a7baa4
14c8b51a9d
157bd27933
hex4f5a32db

1331311323 has 64 divisors (see below), whose sum is σ = 2043417600. Its totient is φ = 768531456.

The previous prime is 1331311321. The next prime is 1331311343. The reversal of 1331311323 is 3231131331.

It is not a de Polignac number, because 1331311323 - 21 = 1331311321 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1331311323.

It is not an unprimeable number, because it can be changed into a prime (1331311321) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13724811 + ... + 13724907.

It is an arithmetic number, because the mean of its divisors is an integer number (31928400).

Almost surely, 21331311323 is an apocalyptic number.

1331311323 is a deficient number, since it is larger than the sum of its proper divisors (712106277).

1331311323 is an equidigital number, since it uses as much as digits as its factorization.

1331311323 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209 (or 171 counting only the distinct ones).

The product of its digits is 486, while the sum is 21.

The square root of 1331311323 is about 36487.1391451837. The cubic root of 1331311323 is about 1100.0857572259.

Adding to 1331311323 its reverse (3231131331), we get a palindrome (4562442654).

The spelling of 1331311323 in words is "one billion, three hundred thirty-one million, three hundred eleven thousand, three hundred twenty-three".

Divisors: 1 3 19 23 29 57 69 87 97 291 361 437 551 667 1083 1311 1653 1843 2001 2231 2813 5529 6693 6859 8303 8439 10469 12673 20577 24909 31407 35017 38019 42389 53447 64699 105051 127167 157757 160341 194097 198911 240787 473271 596733 665323 722361 805391 1015493 1229281 1995969 2416173 3046479 3687843 4574953 13724859 15302429 19294367 23356339 45907287 57883101 70069017 443770441 1331311323