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1323332210133 = 34293715225941
BaseRepresentation
bin10011010000011100101…
…111110000110111010101
311200111202022000112110000
4103100130233300313111
5133140141021211013
62451532545521513
7164415256122543
oct23203457606725
94614668015400
101323332210133
11470249595a8a
12194579343299
1397a35c5133b
144809a232d93
15246524a7973
hex1341cbf0dd5

1323332210133 has 40 divisors (see below), whose sum is σ = 2100266439480. Its totient is φ = 828778366080.

The previous prime is 1323332210117. The next prime is 1323332210159. The reversal of 1323332210133 is 3310122333231.

1323332210133 is a `hidden beast` number, since 1 + 3 + 233 + 322 + 101 + 3 + 3 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 449896172049 + 873436038084 = 670743^2 + 934578^2 .

It is not a de Polignac number, because 1323332210133 - 24 = 1323332210117 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 1323332210097 and 1323332210106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1323332217133) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 7526058 + ... + 7699883.

It is an arithmetic number, because the mean of its divisors is an integer number (52506660987).

Almost surely, 21323332210133 is an apocalyptic number.

It is an amenable number.

1323332210133 is a deficient number, since it is larger than the sum of its proper divisors (776934229347).

1323332210133 is a wasteful number, since it uses less digits than its factorization.

1323332210133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15226019 (or 15226010 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

Adding to 1323332210133 its reverse (3310122333231), we get a palindrome (4633454543364).

The spelling of 1323332210133 in words is "one trillion, three hundred twenty-three billion, three hundred thirty-two million, two hundred ten thousand, one hundred thirty-three".

Divisors: 1 3 9 27 29 37 81 87 111 261 333 783 999 1073 2349 2997 3219 9657 28971 86913 15225941 45677823 137033469 411100407 441552289 563359817 1233301221 1324656867 1690079451 3973970601 5070238353 11921911803 15210715059 16337434693 35765735409 45632145177 49012304079 147036912237 441110736711 1323332210133