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342133442300081 is a prime number
BaseRepresentation
bin100110111001010110010011…
…0010010110100100010110001
31122212101122012211221122202002
41031302230212102310202301
5324321003242212100311
63211353533353103345
7132031216434061415
oct11562544622644261
91585348184848662
10342133442300081
119a017a83861503
12324579056b7b55
13118ba078321a03
14606b4c00c8d45
152984a216cc93b
hex1372b264b48b1

342133442300081 has 2 divisors, whose sum is σ = 342133442300082. Its totient is φ = 342133442300080.

The previous prime is 342133442300003. The next prime is 342133442300371. The reversal of 342133442300081 is 180003244331243.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 182077645768225 + 160055796531856 = 13493615^2 + 12651316^2 .

It is a cyclic number.

It is not a de Polignac number, because 342133442300081 - 246 = 271764698122417 is a prime.

It is a super-2 number, since 2×3421334423000812 (a number of 30 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (342133442300681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 171066721150040 + 171066721150041.

It is an arithmetic number, because the mean of its divisors is an integer number (171066721150041).

Almost surely, 2342133442300081 is an apocalyptic number.

It is an amenable number.

342133442300081 is a deficient number, since it is larger than the sum of its proper divisors (1).

342133442300081 is an equidigital number, since it uses as much as digits as its factorization.

342133442300081 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 165888, while the sum is 38.

The spelling of 342133442300081 in words is "three hundred forty-two trillion, one hundred thirty-three billion, four hundred forty-two million, three hundred thousand, eighty-one".