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1323133005 = 35436133629
BaseRepresentation
bin100111011011101…
…0110100001001101
310102012201010021010
41032313112201031
510202210224010
6335143155433
744534305425
oct11667264115
93365633233
101323133005
11619968457
1230b145b79
1318117744c
14c7a23485
157b25e620
hex4edd684d

1323133005 has 32 divisors (see below), whose sum is σ = 2201823360. Its totient is φ = 677940480.

The previous prime is 1323132991. The next prime is 1323133037. The reversal of 1323133005 is 5003313231.

It is not a de Polignac number, because 1323133005 - 25 = 1323132973 is a prime.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 22531 + ... + 56159.

It is an arithmetic number, because the mean of its divisors is an integer number (68806980).

Almost surely, 21323133005 is an apocalyptic number.

1323133005 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1323133005 is a deficient number, since it is larger than the sum of its proper divisors (878690355).

1323133005 is a wasteful number, since it uses less digits than its factorization.

1323133005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33741.

The product of its (nonzero) digits is 810, while the sum is 21.

The square root of 1323133005 is about 36374.8952575812. The cubic root of 1323133005 is about 1097.8284998283.

Adding to 1323133005 its reverse (5003313231), we get a palindrome (6326446236).

The spelling of 1323133005 in words is "one billion, three hundred twenty-three million, one hundred thirty-three thousand, five".

Divisors: 1 3 5 15 43 61 129 183 215 305 645 915 2623 7869 13115 33629 39345 100887 168145 504435 1446047 2051369 4338141 6154107 7230235 10256845 21690705 30770535 88208867 264626601 441044335 1323133005