Search a number
-
+
217542045029 is a prime number
BaseRepresentation
bin1100101010011010000…
…1000010110101100101
3202210111212201220101212
43022212201002311211
512031011230420104
6243534253001205
721500615605301
oct3124641026545
9683455656355
10217542045029
11842938a4281
12361b2483205
131768b6c8c8a
14a759b7cd01
1559d351c36e
hex32a6842d65

217542045029 has 2 divisors, whose sum is σ = 217542045030. Its totient is φ = 217542045028.

The previous prime is 217542044989. The next prime is 217542045073. The reversal of 217542045029 is 920540245712.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 119308068100 + 98233976929 = 345410^2 + 313423^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-217542045029 is a prime.

It is a super-2 number, since 2×2175420450292 (a number of 23 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (217542041029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 108771022514 + 108771022515.

It is an arithmetic number, because the mean of its divisors is an integer number (108771022515).

Almost surely, 2217542045029 is an apocalyptic number.

It is an amenable number.

217542045029 is a deficient number, since it is larger than the sum of its proper divisors (1).

217542045029 is an equidigital number, since it uses as much as digits as its factorization.

217542045029 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 201600, while the sum is 41.

The spelling of 217542045029 in words is "two hundred seventeen billion, five hundred forty-two million, forty-five thousand, twenty-nine".