Search a number
-
+
10012014111 = 311437369379
BaseRepresentation
bin10010101001100001…
…10011011000011111
3221211202101000101110
421110300303120133
5131001033422421
64333252113103
7503051500341
oct112460633037
927752330343
1010012014111
114278580430
121b35005793
13c37335a08
146ad9ad291
153d8e82a76
hex254c3361f

10012014111 has 16 divisors (see below), whose sum is σ = 14566469760. Its totient is φ = 6066412320.

The previous prime is 10012014097. The next prime is 10012014113. The reversal of 10012014111 is 11141021001.

10012014111 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10012014111 - 210 = 10012013087 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10012014113) 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 15 ways as a sum of consecutive naturals, for example, 109620 + ... + 178998.

It is an arithmetic number, because the mean of its divisors is an integer number (910404360).

Almost surely, 210012014111 is an apocalyptic number.

10012014111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10012014111 is a deficient number, since it is larger than the sum of its proper divisors (4554455649).

10012014111 is a wasteful number, since it uses less digits than its factorization.

10012014111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73766.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 10012014111 its reverse (11141021001), we get a palindrome (21153035112).

The spelling of 10012014111 in words is "ten billion, twelve million, fourteen thousand, one hundred eleven".

Divisors: 1 3 11 33 4373 13119 48103 69379 144309 208137 763169 2289507 303394367 910183101 3337338037 10012014111