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601000000001 is a prime number
BaseRepresentation
bin10001011111011100110…
…01000011101000000001
32010110021201112022121022
420233232121003220001
534321322000000001
61140032351435225
761264224465632
oct10575631035001
92113251468538
10601000000001
11211978917385
1298589825b15
134489bb9769b
1421134dd1889
1510977a4e11b
hex8bee643a01

601000000001 has 2 divisors, whose sum is σ = 601000000002. Its totient is φ = 601000000000.

The previous prime is 600999999989. The next prime is 601000000039. The reversal of 601000000001 is 100000000106.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 596291295601 + 4708704400 = 772199^2 + 68620^2 .

It is a cyclic number.

It is not a de Polignac number, because 601000000001 - 218 = 600999737857 is a prime.

It is a super-2 number, since 2×6010000000012 (a number of 24 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (601000000091) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 300500000000 + 300500000001.

It is an arithmetic number, because the mean of its divisors is an integer number (300500000001).

Almost surely, 2601000000001 is an apocalyptic number.

It is an amenable number.

601000000001 is a deficient number, since it is larger than the sum of its proper divisors (1).

601000000001 is an equidigital number, since it uses as much as digits as its factorization.

601000000001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 6, while the sum is 8.

Adding to 601000000001 its reverse (100000000106), we get a palindrome (701000000107).

The spelling of 601000000001 in words is "six hundred one billion, one", and thus it is an aban number.