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34122061 is a prime number
BaseRepresentation
bin1000001000101…
…0100101001101
32101012120200001
42002022211031
532213401221
63215204301
7563014141
oct202124515
971176601
1034122061
1118296456
12b516691
1370b928c
144763221
152ee0391
hex208a94d

34122061 has 2 divisors, whose sum is σ = 34122062. Its totient is φ = 34122060.

The previous prime is 34122059. The next prime is 34122071. The reversal of 34122061 is 16022143.

34122061 = 41302 + 41312.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 17065161 + 17056900 = 4131^2 + 4130^2 .

It is a cyclic number.

It is not a de Polignac number, because 34122061 - 21 = 34122059 is a prime.

Together with 34122059, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (34122031) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17061030 + 17061031.

It is an arithmetic number, because the mean of its divisors is an integer number (17061031).

Almost surely, 234122061 is an apocalyptic number.

34122061 is the 4131-st centered square number.

It is an amenable number.

34122061 is a deficient number, since it is larger than the sum of its proper divisors (1).

34122061 is an equidigital number, since it uses as much as digits as its factorization.

34122061 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 34122061 is about 5841.4091621800. The cubic root of 34122061 is about 324.3483938488.

The spelling of 34122061 in words is "thirty-four million, one hundred twenty-two thousand, sixty-one".