Search a number
-
+
13812506305 = 513212500097
BaseRepresentation
bin11001101110100101…
…00001111011000001
31022122121200000120121
430313102201323001
5211242000200210
610202333540241
7666200236453
oct146722417301
938577600517
1013812506305
115948888474
122815944681
1313c1813170
1495062c2d3
1555c9496da
hex3374a1ec1

13812506305 has 8 divisors (see below), whose sum is σ = 17850008232. Its totient is φ = 10200004608.

The previous prime is 13812506303. The next prime is 13812506327. The reversal of 13812506305 is 50360521831.

13812506305 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 1622800656 + 12189705649 = 40284^2 + 110407^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 13812506305 - 21 = 13812506303 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13812506303) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 106249984 + ... + 106250113.

It is an arithmetic number, because the mean of its divisors is an integer number (2231251029).

Almost surely, 213812506305 is an apocalyptic number.

It is an amenable number.

13812506305 is a deficient number, since it is larger than the sum of its proper divisors (4037501927).

13812506305 is a wasteful number, since it uses less digits than its factorization.

13812506305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212500115.

The product of its (nonzero) digits is 21600, while the sum is 34.

The spelling of 13812506305 in words is "thirteen billion, eight hundred twelve million, five hundred six thousand, three hundred five".

Divisors: 1 5 13 65 212500097 1062500485 2762501261 13812506305