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34123432081 is a prime number
BaseRepresentation
bin11111110001111010…
…100100000010010001
310021002010020221210211
4133301322210002101
51024341044311311
623402011324121
72315416246504
oct376172440221
9107063227724
1034123432081
1113520873642
126743a50641
1332aa74293b
141919d2d13b
15d4ab31821
hex7f1ea4091

34123432081 has 2 divisors, whose sum is σ = 34123432082. Its totient is φ = 34123432080.

The previous prime is 34123432051. The next prime is 34123432157. The reversal of 34123432081 is 18023432143.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 29856729681 + 4266702400 = 172791^2 + 65320^2 .

It is an emirp because it is prime and its reverse (18023432143) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 34123432081 - 29 = 34123431569 is a prime.

It is a super-2 number, since 2×341234320812 (a number of 22 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (34123432051) 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, 17061716040 + 17061716041.

It is an arithmetic number, because the mean of its divisors is an integer number (17061716041).

Almost surely, 234123432081 is an apocalyptic number.

It is an amenable number.

34123432081 is a deficient number, since it is larger than the sum of its proper divisors (1).

34123432081 is an equidigital number, since it uses as much as digits as its factorization.

34123432081 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 13824, while the sum is 31.

The spelling of 34123432081 in words is "thirty-four billion, one hundred twenty-three million, four hundred thirty-two thousand, eighty-one".