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34139001601 is a prime number
BaseRepresentation
bin11111110010110101…
…111101001100000001
310021010012112222011201
4133302311331030001
51024404041022401
623403325141201
72315665503625
oct376265751401
9107105488151
1034139001601
1113529638211
1267490ba801
1332b0a34583
14191c023185
15d4c1a9b01
hex7f2d7d301

34139001601 has 2 divisors, whose sum is σ = 34139001602. Its totient is φ = 34139001600.

The previous prime is 34139001599. The next prime is 34139001607. The reversal of 34139001601 is 10610093143.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 19594400400 + 14544601201 = 139980^2 + 120601^2 .

It is a cyclic number.

It is not a de Polignac number, because 34139001601 - 21 = 34139001599 is a prime.

Together with 34139001599, it forms a pair of twin primes.

It is a self number, because there is not a number n which added to its sum of digits gives 34139001601.

It is not a weakly prime, because it can be changed into another prime (34139001607) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17069500800 + 17069500801.

It is an arithmetic number, because the mean of its divisors is an integer number (17069500801).

Almost surely, 234139001601 is an apocalyptic number.

It is an amenable number.

34139001601 is a deficient number, since it is larger than the sum of its proper divisors (1).

34139001601 is an equidigital number, since it uses as much as digits as its factorization.

34139001601 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1944, while the sum is 28.

Adding to 34139001601 its reverse (10610093143), we get a palindrome (44749094744).

The spelling of 34139001601 in words is "thirty-four billion, one hundred thirty-nine million, one thousand, six hundred one".