Search a number
-
+
13312100 = 2252133121
BaseRepresentation
bin110010110010…
…000001100100
3221001022202202
4302302001210
511401441400
61153154032
7221102534
oct62620144
927038682
1013312100
11757263a
12455b918
1329b12a9
141aa74c4
15127e4d5
hexcb2064

13312100 has 18 divisors (see below), whose sum is σ = 28887474. Its totient is φ = 5324800.

The previous prime is 13312093. The next prime is 13312109. The reversal of 13312100 is 121331.

It can be written as a sum of positive squares in 3 ways, for example, as 3936256 + 9375844 = 1984^2 + 3062^2 .

It is not an unprimeable number, because it can be changed into a prime (13312109) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 66461 + ... + 66660.

Almost surely, 213312100 is an apocalyptic number.

13312100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13312100 is an abundant number, since it is smaller than the sum of its proper divisors (15575374).

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

13312100 is a wasteful number, since it uses less digits than its factorization.

13312100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133135 (or 133128 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 11.

The square root of 13312100 is about 3648.5750643231. The cubic root of 13312100 is about 237.0002789198. Note that the first 3 decimals are identical.

Adding to 13312100 its reverse (121331), we get a palindrome (13433431).

The spelling of 13312100 in words is "thirteen million, three hundred twelve thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 133121 266242 532484 665605 1331210 2662420 3328025 6656050 13312100