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14130203241 = 3711379316127
BaseRepresentation
bin11010010100011100…
…11100101001101001
31100110202110200211210
431022032130221221
5212414313000431
610254043143333
71010105513550
oct151216345151
940422420753
1014130203241
115aa1149920
1228a4214b49
13144259900b
149808cad97
1557a7a1d46
hex34a39ca69

14130203241 has 32 divisors (see below), whose sum is σ = 23496818688. Its totient is φ = 7337975040.

The previous prime is 14130203221. The next prime is 14130203251. The reversal of 14130203241 is 14230203141.

14130203241 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 14130203241 - 25 = 14130203209 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (14130203221) 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 31 ways as a sum of consecutive naturals, for example, 868120 + ... + 884246.

It is an arithmetic number, because the mean of its divisors is an integer number (734275584).

Almost surely, 214130203241 is an apocalyptic number.

14130203241 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

14130203241 is a deficient number, since it is larger than the sum of its proper divisors (9366615447).

14130203241 is a wasteful number, since it uses less digits than its factorization.

14130203241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19941.

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 14130203241 its reverse (14230203141), we get a palindrome (28360406382).

The spelling of 14130203241 in words is "fourteen billion, one hundred thirty million, two hundred three thousand, two hundred forty-one".

Divisors: 1 3 7 11 21 33 77 231 3793 11379 16127 26551 41723 48381 79653 112889 125169 177397 292061 338667 532191 876183 1241779 3725337 61169711 183509133 428187977 672866821 1284563931 2018600463 4710067747 14130203241