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34003827001 is a prime number
BaseRepresentation
bin11111101010110010…
…010011100100111001
310020202210012101111001
4133222302103210321
51024114434431001
623342100005001
72312434521604
oct375262234471
9106683171431
1034003827001
111346a301571
12670b990761
13328ba266c1
1419080b733b
15d403a8001
hex7eac93939

34003827001 has 2 divisors, whose sum is σ = 34003827002. Its totient is φ = 34003827000.

The previous prime is 34003826971. The next prime is 34003827019. The reversal of 34003827001 is 10072830043.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 32039210025 + 1964616976 = 178995^2 + 44324^2 .

It is a cyclic number.

It is not a de Polignac number, because 34003827001 - 221 = 34001729849 is a prime.

It is not a weakly prime, because it can be changed into another prime (34003827041) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17001913500 + 17001913501.

It is an arithmetic number, because the mean of its divisors is an integer number (17001913501).

Almost surely, 234003827001 is an apocalyptic number.

It is an amenable number.

34003827001 is a deficient number, since it is larger than the sum of its proper divisors (1).

34003827001 is an equidigital number, since it uses as much as digits as its factorization.

34003827001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4032, while the sum is 28.

The spelling of 34003827001 in words is "thirty-four billion, three million, eight hundred twenty-seven thousand, one".