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204334101 = 32174612897
BaseRepresentation
bin11000010110111…
…10010000010101
3112020111020200200
430023132100111
5404302142401
632135331113
75030545146
oct1413362025
9466436620
10204334101
11a5383264
1258520a99
1333443c6a
141d1cdacd
1512e13686
hexc2de415

204334101 has 24 divisors (see below), whose sum is σ = 313296984. Its totient is φ = 127887360.

The previous prime is 204334099. The next prime is 204334103. The reversal of 204334101 is 101433402.

It is an interprime number because it is at equal distance from previous prime (204334099) and next prime (204334103).

It can be written as a sum of positive squares in 4 ways, for example, as 10400625 + 193933476 = 3225^2 + 13926^2 .

It is not a de Polignac number, because 204334101 - 21 = 204334099 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (204334103) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 69085 + ... + 71981.

It is an arithmetic number, because the mean of its divisors is an integer number (13054041).

Almost surely, 2204334101 is an apocalyptic number.

It is an amenable number.

204334101 is a deficient number, since it is larger than the sum of its proper divisors (108962883).

204334101 is a wasteful number, since it uses less digits than its factorization.

204334101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3381 (or 3378 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 204334101 is about 14294.5479466823. The cubic root of 204334101 is about 588.9977247374.

Adding to 204334101 its reverse (101433402), we get a palindrome (305767503).

The spelling of 204334101 in words is "two hundred four million, three hundred thirty-four thousand, one hundred one".

Divisors: 1 3 9 17 51 153 461 1383 2897 4149 7837 8691 23511 26073 49249 70533 147747 443241 1335517 4006551 12019653 22703789 68111367 204334101