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13201432431 = 3111093670123
BaseRepresentation
bin11000100101101110…
…11101111101101111
31021002000211020210220
430102313131331233
5204014031314211
610021544302423
7645100216125
oct142267357557
937060736726
1013201432431
115664956640
122685171a13
13132503aca5
148d3401915
15523e90806
hex312dddf6f

13201432431 has 16 divisors (see below), whose sum is σ = 19378254720. Its totient is φ = 7927463520.

The previous prime is 13201432421. The next prime is 13201432457. The reversal of 13201432431 is 13423410231.

It is a happy number.

It is not a de Polignac number, because 13201432431 - 215 = 13201399663 is a prime.

It is a super-2 number, since 2×132014324312 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13201432421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1831465 + ... + 1838658.

It is an arithmetic number, because the mean of its divisors is an integer number (1211140920).

Almost surely, 213201432431 is an apocalyptic number.

13201432431 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13201432431 is a deficient number, since it is larger than the sum of its proper divisors (6176822289).

13201432431 is a wasteful number, since it uses less digits than its factorization.

13201432431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3670246.

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 13201432431 its reverse (13423410231), we get a palindrome (26624842662).

The spelling of 13201432431 in words is "thirteen billion, two hundred one million, four hundred thirty-two thousand, four hundred thirty-one".

Divisors: 1 3 11 33 109 327 1199 3597 3670123 11010369 40371353 121114059 400043407 1200130221 4400477477 13201432431