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205111310144 = 2613246528017
BaseRepresentation
bin1011111100000110010…
…1100011011101000000
3201121102120010010212112
42333001211203131000
511330031443411034
6234120555114452
720550564240566
oct2770145433500
9647376103775
10205111310144
1179a94a95164
1233903442a28
131645a251550
149cdac79a36
1555070667ce
hex2fc1963740

205111310144 has 28 divisors (see below), whose sum is σ = 438326816004. Its totient is φ = 94666758144.

The previous prime is 205111310141. The next prime is 205111310161. The reversal of 205111310144 is 441013111502.

It can be written as a sum of positive squares in 2 ways, for example, as 48206593600 + 156904716544 = 219560^2 + 396112^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205111310141) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 123263177 + ... + 123264840.

It is an arithmetic number, because the mean of its divisors is an integer number (15654529143).

Almost surely, 2205111310144 is an apocalyptic number.

It is an amenable number.

205111310144 is an abundant number, since it is smaller than the sum of its proper divisors (233215505860).

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

205111310144 is a wasteful number, since it uses less digits than its factorization.

205111310144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246528042 (or 246528032 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 23.

Adding to 205111310144 its reverse (441013111502), we get a palindrome (646124421646).

The spelling of 205111310144 in words is "two hundred five billion, one hundred eleven million, three hundred ten thousand, one hundred forty-four".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 208 416 832 246528017 493056034 986112068 1972224136 3204864221 3944448272 6409728442 7888896544 12819456884 15777793088 25638913768 51277827536 102555655072 205111310144