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242044001029 is a prime number
BaseRepresentation
bin1110000101101011110…
…0100101101100000101
3212010202110111020021201
43201122330211230011
512431201231013104
6303105442542501
723326035030325
oct3413274455405
9763673436251
10242044001029
119371758a496
123aab0067a31
1319a949b37ac
14ba01d1d285
1564696110a4
hex385af25b05

242044001029 has 2 divisors, whose sum is σ = 242044001030. Its totient is φ = 242044001028.

The previous prime is 242044000997. The next prime is 242044001047. The reversal of 242044001029 is 920100440242.

242044001029 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 170570652004 + 71473349025 = 413002^2 + 267345^2 .

It is a cyclic number.

It is not a de Polignac number, because 242044001029 - 25 = 242044000997 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 242044000988 and 242044001006.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (242044001929) 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, 121022000514 + 121022000515.

It is an arithmetic number, because the mean of its divisors is an integer number (121022000515).

Almost surely, 2242044001029 is an apocalyptic number.

It is an amenable number.

242044001029 is a deficient number, since it is larger than the sum of its proper divisors (1).

242044001029 is an equidigital number, since it uses as much as digits as its factorization.

242044001029 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4608, while the sum is 28.

The spelling of 242044001029 in words is "two hundred forty-two billion, forty-four million, one thousand, twenty-nine".