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205130041 = 17103311681
BaseRepresentation
bin11000011101000…
…00100100111001
3112021222200111221
430032200210321
5410003130131
632204352041
75040401524
oct1416404471
9467880457
10205130041
11a5877266
1258845621
133366232c
141d359bbb
151301e411
hexc3a0939

205130041 has 8 divisors (see below), whose sum is σ = 217425384. Its totient is φ = 192860160.

The previous prime is 205129997. The next prime is 205130111. The reversal of 205130041 is 140031502.

It can be written as a sum of positive squares in 4 ways, for example, as 114404416 + 90725625 = 10696^2 + 9525^2 .

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 205130041 - 27 = 205129913 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 205129997 and 205130024.

It is not an unprimeable number, because it can be changed into a prime (205130141) 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, 11721 + ... + 23401.

It is an arithmetic number, because the mean of its divisors is an integer number (27178173).

Almost surely, 2205130041 is an apocalyptic number.

It is an amenable number.

205130041 is a deficient number, since it is larger than the sum of its proper divisors (12295343).

205130041 is a wasteful number, since it uses less digits than its factorization.

205130041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12731.

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

The square root of 205130041 is about 14322.3615720313. The cubic root of 205130041 is about 589.7615056370.

Adding to 205130041 its reverse (140031502), we get a palindrome (345161543).

The spelling of 205130041 in words is "two hundred five million, one hundred thirty thousand, forty-one".

Divisors: 1 17 1033 11681 17561 198577 12066473 205130041