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1323130100 = 225227134877
BaseRepresentation
bin100111011011101…
…0101110011110100
310102012200222021112
41032313111303310
510202210130400
6335143134152
744534264105
oct11667256364
93365628245
101323130100
11619966256
1230b144358
13181176026
14c7a223ac
157b25d835
hex4edd5cf4

1323130100 has 36 divisors (see below), whose sum is σ = 2872839564. Its totient is φ = 528948480.

The previous prime is 1323130099. The next prime is 1323130103. The reversal of 1323130100 is 10313231.

It can be written as a sum of positive squares in 6 ways, for example, as 7907344 + 1315222756 = 2812^2 + 36266^2 .

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 268862 + ... + 273738.

It is an arithmetic number, because the mean of its divisors is an integer number (79801099).

Almost surely, 21323130100 is an apocalyptic number.

1323130100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1323130100 is an abundant number, since it is smaller than the sum of its proper divisors (1549709464).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1323130100 is a wasteful number, since it uses less digits than its factorization.

1323130100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7604 (or 7597 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 14.

The square root of 1323130100 is about 36374.8553261728. The cubic root of 1323130100 is about 1097.8276963832.

Adding to 1323130100 its reverse (10313231), we get a palindrome (1333443331).

The spelling of 1323130100 in words is "one billion, three hundred twenty-three million, one hundred thirty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 2713 4877 5426 9754 10852 13565 19508 24385 27130 48770 54260 67825 97540 121925 135650 243850 271300 487700 13231301 26462602 52925204 66156505 132313010 264626020 330782525 661565050 1323130100