Search a number
-
+
12014323313201 = 112917550368041
BaseRepresentation
bin1010111011010100110101…
…1110010010101000110001
31120112120001211220210200222
42232311031132102220301
53033320313232010301
641315145352222425
72350002063116066
oct256651536225061
946476054823628
1012014323313201
113912278330030
12142055869aa15
13691c3ac9ca41
142d76d3db6c6d
1515c7c061a31b
hexaed4d792a31

12014323313201 has 16 divisors (see below), whose sum is σ = 13113602930688. Its totient is φ = 10916223292800.

The previous prime is 12014323313197. The next prime is 12014323313219. The reversal of 12014323313201 is 10231332341021.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 12014323313201 - 22 = 12014323313197 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12014323313261) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 176540741 + ... + 176608781.

It is an arithmetic number, because the mean of its divisors is an integer number (819600183168).

Almost surely, 212014323313201 is an apocalyptic number.

12014323313201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12014323313201 is a deficient number, since it is larger than the sum of its proper divisors (1099279617487).

12014323313201 is a wasteful number, since it uses less digits than its factorization.

12014323313201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76472.

The product of its (nonzero) digits is 2592, while the sum is 26.

Adding to 12014323313201 its reverse (10231332341021), we get a palindrome (22245655654222).

The spelling of 12014323313201 in words is "twelve trillion, fourteen billion, three hundred twenty-three million, three hundred thirteen thousand, two hundred one".

Divisors: 1 11 2917 5503 32087 60533 68041 748451 16052251 176574761 198475597 374429623 2183231567 4118725853 1092211210291 12014323313201