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13201420441 = 1110958718757
BaseRepresentation
bin11000100101101110…
…11011000010011001
31021002000210122100211
430102313123002121
5204014030423231
610021544131121
7645100136146
oct142267330231
937060718324
1013201420441
115664948630
122685166aa1
1313250356b1
148d33db3cd
15523e8beb1
hex312ddb099

13201420441 has 16 divisors (see below), whose sum is σ = 14559209280. Its totient is φ = 11870297280.

The previous prime is 13201420327. The next prime is 13201420447. The reversal of 13201420441 is 14402410231.

It is a happy number.

13201420441 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 not a de Polignac number, because 13201420441 - 211 = 13201418393 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13201420447) 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, 694435 + ... + 713191.

It is an arithmetic number, because the mean of its divisors is an integer number (909950580).

Almost surely, 213201420441 is an apocalyptic number.

13201420441 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

13201420441 is a deficient number, since it is larger than the sum of its proper divisors (1357788839).

13201420441 is a wasteful number, since it uses less digits than its factorization.

13201420441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19464.

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 13201420441 its reverse (14402410231), we get a palindrome (27603830672).

The spelling of 13201420441 in words is "thirteen billion, two hundred one million, four hundred twenty thousand, four hundred forty-one".

Divisors: 1 11 109 587 1199 6457 18757 63983 206327 703813 2044513 11010359 22489643 121113949 1200129131 13201420441