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14341012100 = 2252143410121
BaseRepresentation
bin11010101101100101…
…00111101010000100
31101000110010220020022
431112302213222010
5213332244341400
610331013354312
71015245406622
oct152662475204
941013126208
1014341012100
11609a144718
122942938998
13147716909c
149a08c4512
1558e043b85
hex356ca7a84

14341012100 has 18 divisors (see below), whose sum is σ = 31119996474. Its totient is φ = 5736404800.

The previous prime is 14341012097. The next prime is 14341012159. The reversal of 14341012100 is 121014341.

It is a happy number.

14341012100 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 3 ways, for example, as 470596 + 14340541504 = 686^2 + 119752^2 .

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 71704961 + ... + 71705160.

It is an arithmetic number, because the mean of its divisors is an integer number (1728888693).

Almost surely, 214341012100 is an apocalyptic number.

14341012100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14341012100 is an abundant number, since it is smaller than the sum of its proper divisors (16778984374).

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

14341012100 is a wasteful number, since it uses less digits than its factorization.

14341012100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143410135 (or 143410128 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 14341012100 its reverse (121014341), we get a palindrome (14462026441).

The spelling of 14341012100 in words is "fourteen billion, three hundred forty-one million, twelve thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 143410121 286820242 573640484 717050605 1434101210 2868202420 3585253025 7170506050 14341012100