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13201211205 = 3257133223739
BaseRepresentation
bin11000100101101101…
…00111111101000101
31021002000102000100100
430102312213331011
5204014002224310
610021535434313
7645065305140
oct142266477505
937060360310
1013201211205
115664815406
122685085999
131324c913a0
148d3385057
15523e49ec0
hex312da7f45

13201211205 has 48 divisors (see below), whose sum is σ = 28162592640. Its totient is φ = 5570619264.

The previous prime is 13201211203. The next prime is 13201211291. The reversal of 13201211205 is 50211210231.

It is not a de Polignac number, because 13201211205 - 21 = 13201211203 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13201211203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1607775 + ... + 1615964.

It is an arithmetic number, because the mean of its divisors is an integer number (586720680).

Almost surely, 213201211205 is an apocalyptic number.

13201211205 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13201211205 is an abundant number, since it is smaller than the sum of its proper divisors (14961381435).

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

13201211205 is a wasteful number, since it uses less digits than its factorization.

13201211205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3223770 (or 3223767 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

Adding to 13201211205 its reverse (50211210231), we get a palindrome (63412421436).

The spelling of 13201211205 in words is "thirteen billion, two hundred one million, two hundred eleven thousand, two hundred five".

Divisors: 1 3 5 7 9 13 15 21 35 39 45 63 65 91 105 117 195 273 315 455 585 819 1365 4095 3223739 9671217 16118695 22566173 29013651 41908607 48356085 67698519 112830865 125725821 145068255 203095557 209543035 293360249 338492595 377177463 628629105 880080747 1015477785 1466801245 1885887315 2640242241 4400403735 13201211205