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3413028161 is a prime number
BaseRepresentation
bin1100101101101110…
…1010110101000001
322210212012210110102
43023123222311001
523442213400121
61322401012145
7150402155264
oct31333526501
98725183412
103413028161
1114a1624634
127b3024055
13425137aba
142453dccdb
1514e97c90b
hexcb6ead41

3413028161 has 2 divisors, whose sum is σ = 3413028162. Its totient is φ = 3413028160.

The previous prime is 3413028139. The next prime is 3413028163. The reversal of 3413028161 is 1618203143.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 3215457025 + 197571136 = 56705^2 + 14056^2 .

It is a cyclic number.

It is not a de Polignac number, because 3413028161 - 26 = 3413028097 is a prime.

It is a super-3 number, since 3×34130281613 (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Sophie Germain prime.

Together with 3413028163, it forms a pair of twin primes.

It is a Chen prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (3413028163) 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, 1706514080 + 1706514081.

It is an arithmetic number, because the mean of its divisors is an integer number (1706514081).

Almost surely, 23413028161 is an apocalyptic number.

It is an amenable number.

3413028161 is a deficient number, since it is larger than the sum of its proper divisors (1).

3413028161 is an equidigital number, since it uses as much as digits as its factorization.

3413028161 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3456, while the sum is 29.

The square root of 3413028161 is about 58421.1276936692. The cubic root of 3413028161 is about 1505.6127732847.

The spelling of 3413028161 in words is "three billion, four hundred thirteen million, twenty-eight thousand, one hundred sixty-one".