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204167332601 is a prime number
BaseRepresentation
bin1011111000100101010…
…0100100001011111001
3201111222202212010010022
42332021110210023321
511321113314120401
6233443154300225
720515312456511
oct2761124441371
9644882763108
10204167332601
1179650155931
123369b287675
13163397caa5b
149c4b752841
15549e24e71b
hex2f895242f9

204167332601 has 2 divisors, whose sum is σ = 204167332602. Its totient is φ = 204167332600.

The previous prime is 204167332591. The next prime is 204167332631. The reversal of 204167332601 is 106233761402.

204167332601 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 204141312400 + 26020201 = 451820^2 + 5101^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-204167332601 is a prime.

It is not a weakly prime, because it can be changed into another prime (204167332631) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 102083666300 + 102083666301.

It is an arithmetic number, because the mean of its divisors is an integer number (102083666301).

Almost surely, 2204167332601 is an apocalyptic number.

It is an amenable number.

204167332601 is a deficient number, since it is larger than the sum of its proper divisors (1).

204167332601 is an equidigital number, since it uses as much as digits as its factorization.

204167332601 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 36288, while the sum is 35.

The spelling of 204167332601 in words is "two hundred four billion, one hundred sixty-seven million, three hundred thirty-two thousand, six hundred one".