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1323130133 = 13294098581
BaseRepresentation
bin100111011011101…
…0101110100010101
310102012200222022202
41032313111310111
510202210131013
6335143134245
744534264153
oct11667256425
93365628282
101323130133
11619966286
1230b144385
13181176050
14c7a223d3
157b25d858
hex4edd5d15

1323130133 has 16 divisors (see below), whose sum is σ = 1477820400. Its totient is φ = 1176215040.

The previous prime is 1323130121. The next prime is 1323130187. The reversal of 1323130133 is 3310313231.

It can be written as a sum of positive squares in 8 ways, for example, as 134397649 + 1188732484 = 11593^2 + 34478^2 .

It is not a de Polignac number, because 1323130133 - 210 = 1323129109 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1323130103) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 149903 + ... + 158483.

It is an arithmetic number, because the mean of its divisors is an integer number (92363775).

Almost surely, 21323130133 is an apocalyptic number.

1323130133 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1323130133 is a deficient number, since it is larger than the sum of its proper divisors (154690267).

1323130133 is a wasteful number, since it uses less digits than its factorization.

1323130133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9032.

The product of its (nonzero) digits is 486, while the sum is 20.

The square root of 1323130133 is about 36374.8557797828. The cubic root of 1323130133 is about 1097.8277055101.

Adding to 1323130133 its reverse (3310313231), we get a palindrome (4633443364).

The spelling of 1323130133 in words is "one billion, three hundred twenty-three million, one hundred thirty thousand, one hundred thirty-three".

Divisors: 1 13 29 377 409 5317 8581 11861 111553 154193 248849 3235037 3509629 45625177 101779241 1323130133