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205140013 = 1323686087
BaseRepresentation
bin11000011101000…
…11000000101101
3112022000012012021
430032203000231
5410003440023
632204510141
75040442561
oct1416430055
9468005167
10205140013
11a5883801
125884b351
1333666a30
141d35d6a1
151302235d
hexc3a302d

205140013 has 8 divisors (see below), whose sum is σ = 230525568. Its totient is φ = 181126704.

The previous prime is 205139983. The next prime is 205140029. The reversal of 205140013 is 310041502.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 205140013 - 25 = 205139981 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205140043) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 342745 + ... + 343342.

It is an arithmetic number, because the mean of its divisors is an integer number (28815696).

Almost surely, 2205140013 is an apocalyptic number.

205140013 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

205140013 is a deficient number, since it is larger than the sum of its proper divisors (25385555).

205140013 is a wasteful number, since it uses less digits than its factorization.

205140013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 686123.

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 205140013 is about 14322.7096947470. The cubic root of 205140013 is about 589.7710621870.

Adding to 205140013 its reverse (310041502), we get a palindrome (515181515).

The spelling of 205140013 in words is "two hundred five million, one hundred forty thousand, thirteen".

Divisors: 1 13 23 299 686087 8919131 15780001 205140013