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13205103431 = 131015777187
BaseRepresentation
bin11000100110001010…
…11110001101000111
31021002021201202110212
430103011132031013
5204021001302211
610022155110035
7645143345552
oct142305361507
937067652425
1013205103431
115666a33723
12268644231b
131325a24b90
148d3ab9699
1552446838b
hex31315e347

13205103431 has 4 divisors (see below), whose sum is σ = 14220880632. Its totient is φ = 12189326232.

The previous prime is 13205103427. The next prime is 13205103437. The reversal of 13205103431 is 13430150231.

13205103431 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 13430150231 = 113118850887.

It is a cyclic number.

It is not a de Polignac number, because 13205103431 - 22 = 13205103427 is a prime.

It is a super-2 number, since 2×132051034312 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 13205103397 and 13205103406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13205103437) 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 3 ways as a sum of consecutive naturals, for example, 507888581 + ... + 507888606.

It is an arithmetic number, because the mean of its divisors is an integer number (3555220158).

Almost surely, 213205103431 is an apocalyptic number.

13205103431 is a deficient number, since it is larger than the sum of its proper divisors (1015777201).

13205103431 is a wasteful number, since it uses less digits than its factorization.

13205103431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1015777200.

The product of its (nonzero) digits is 1080, while the sum is 23.

Adding to 13205103431 its reverse (13430150231), we get a palindrome (26635253662).

The spelling of 13205103431 in words is "thirteen billion, two hundred five million, one hundred three thousand, four hundred thirty-one".

Divisors: 1 13 1015777187 13205103431