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217126934641 is a prime number
BaseRepresentation
bin1100101000110111000…
…1100001100001110001
3202202102221122010000001
43022031301201201301
512024133443402031
6243425143430001
721454415331031
oct3121561414161
9682387563001
10217126934641
11840a0548741
12360b7455301
13176236c6a26
14a71a9a38c1
1559abd71861
hex328dc61871

217126934641 has 2 divisors, whose sum is σ = 217126934642. Its totient is φ = 217126934640.

The previous prime is 217126934621. The next prime is 217126934699. The reversal of 217126934641 is 146439621712.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 197860384225 + 19266550416 = 444815^2 + 138804^2 .

It is a cyclic number.

It is not a de Polignac number, because 217126934641 - 27 = 217126934513 is a prime.

It is a super-3 number, since 3×2171269346413 (a number of 35 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 217126934591 and 217126934600.

It is not a weakly prime, because it can be changed into another prime (217126934621) 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, 108563467320 + 108563467321.

It is an arithmetic number, because the mean of its divisors is an integer number (108563467321).

Almost surely, 2217126934641 is an apocalyptic number.

It is an amenable number.

217126934641 is a deficient number, since it is larger than the sum of its proper divisors (1).

217126934641 is an equidigital number, since it uses as much as digits as its factorization.

217126934641 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 435456, while the sum is 46.

The spelling of 217126934641 in words is "two hundred seventeen billion, one hundred twenty-six million, nine hundred thirty-four thousand, six hundred forty-one".