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14101011331 = 1115130727653
BaseRepresentation
bin11010010000111110…
…00101101110000011
31100101201112121001221
431020133011232003
5212334324330311
610251121335511
71006302422131
oct151037055603
940351477057
1014101011331
115a86720580
122896497597
131439517ab4
1497aa8c751
15577e37671
hex3487c5b83

14101011331 has 16 divisors (see below), whose sum is σ = 15535795968. Its totient is φ = 12692268000.

The previous prime is 14101011319. The next prime is 14101011389. The reversal of 14101011331 is 13311010141.

14101011331 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-14101011331 is a prime.

It is a super-3 number, since 3×141010113313 (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (14101011311) 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, 496101 + ... + 523753.

It is an arithmetic number, because the mean of its divisors is an integer number (970987248).

Almost surely, 214101011331 is an apocalyptic number.

14101011331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

14101011331 is a deficient number, since it is larger than the sum of its proper divisors (1434784637).

14101011331 is a wasteful number, since it uses less digits than its factorization.

14101011331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28122.

The product of its (nonzero) digits is 36, while the sum is 16.

Adding to 14101011331 its reverse (13311010141), we get a palindrome (27412021472).

The spelling of 14101011331 in words is "fourteen billion, one hundred one million, eleven thousand, three hundred thirty-one".

Divisors: 1 11 151 307 1661 3377 27653 46357 304183 509927 4175603 8489471 45931633 93384181 1281910121 14101011331