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205104012 = 223197312323
BaseRepresentation
bin11000011100110…
…10001110001100
3112021221100210220
430032122032030
5410001312022
632204031340
75040232611
oct1416321614
9467840726
10205104012
11a5859753
1258832550
1333653529
141d350508
151301685c
hexc39a38c

205104012 has 48 divisors (see below), whose sum is σ = 510706560. Its totient is φ = 63877248.

The previous prime is 205104007. The next prime is 205104071. The reversal of 205104012 is 210401502.

It is a super-2 number, since 2×2051040122 = 84135311476992288, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 205103982 and 205104000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10483 + ... + 22805.

It is an arithmetic number, because the mean of its divisors is an integer number (10639720).

Almost surely, 2205104012 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 205104012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255353280).

205104012 is an abundant number, since it is smaller than the sum of its proper divisors (305602548).

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

205104012 is a wasteful number, since it uses less digits than its factorization.

205104012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12422 (or 12420 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

The square root of 205104012 is about 14321.4528592598. The cubic root of 205104012 is about 589.7365595890.

Adding to 205104012 its reverse (210401502), we get a palindrome (415505514).

The spelling of 205104012 in words is "two hundred five million, one hundred four thousand, twelve".

Divisors: 1 2 3 4 6 12 19 38 57 73 76 114 146 219 228 292 438 876 1387 2774 4161 5548 8322 12323 16644 24646 36969 49292 73938 147876 234137 468274 702411 899579 936548 1404822 1799158 2698737 2809644 3598316 5397474 10794948 17092001 34184002 51276003 68368004 102552006 205104012