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601000013 is a prime number
BaseRepresentation
bin100011110100101…
…000100001001101
31112212212222000202
4203310220201031
52212324000023
6135345303245
720615262425
oct4364504115
91485788022
10601000013
11289281229
12149334b25
1397688b13
1459b67485
1537b69128
hex23d2884d

601000013 has 2 divisors, whose sum is σ = 601000014. Its totient is φ = 601000012.

The previous prime is 601000009. The next prime is 601000033. The reversal of 601000013 is 310000106.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 575376169 + 25623844 = 23987^2 + 5062^2 .

It is a cyclic number.

It is not a de Polignac number, because 601000013 - 22 = 601000009 is a prime.

It is a super-2 number, since 2×6010000132 = 722402031252000338, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 600999958 and 601000003.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (601000033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 300500006 + 300500007.

It is an arithmetic number, because the mean of its divisors is an integer number (300500007).

Almost surely, 2601000013 is an apocalyptic number.

It is an amenable number.

601000013 is a deficient number, since it is larger than the sum of its proper divisors (1).

601000013 is an equidigital number, since it uses as much as digits as its factorization.

601000013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 18, while the sum is 11.

The square root of 601000013 is about 24515.3016094031. The cubic root of 601000013 is about 843.9009850114.

Adding to 601000013 its reverse (310000106), we get a palindrome (911000119).

The spelling of 601000013 in words is "six hundred one million, thirteen", and thus it is an aban number.