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3607101313 is a prime number
BaseRepresentation
bin1101011011111111…
…1111111110000001
3100022101101201202221
43112333333332001
524341404220223
61353532411041
7155246566234
oct32677777601
910271351687
103607101313
111591129672
12848016a81
134563c849a
142630bb41b
15161a15b5d
hexd6ffff81

3607101313 has 2 divisors, whose sum is σ = 3607101314. Its totient is φ = 3607101312.

The previous prime is 3607101307. The next prime is 3607101319. The reversal of 3607101313 is 3131017063.

3607101313 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a balanced prime because it is at equal distance from previous prime (3607101307) and next prime (3607101319).

It can be written as a sum of positive squares in only one way, i.e., 3606843249 + 258064 = 60057^2 + 508^2 .

It is a cyclic number.

It is not a de Polignac number, because 3607101313 - 29 = 3607100801 is a prime.

It is a super-2 number, since 2×36071013132 = 26022359764492647938, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (3607101319) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1803550656 + 1803550657.

It is an arithmetic number, because the mean of its divisors is an integer number (1803550657).

Almost surely, 23607101313 is an apocalyptic number.

It is an amenable number.

3607101313 is a deficient number, since it is larger than the sum of its proper divisors (1).

3607101313 is an equidigital number, since it uses as much as digits as its factorization.

3607101313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1134, while the sum is 25.

The square root of 3607101313 is about 60059.1484538367. The cubic root of 3607101313 is about 1533.6259442143.

Adding to 3607101313 its reverse (3131017063), we get a palindrome (6738118376).

The spelling of 3607101313 in words is "three billion, six hundred seven million, one hundred one thousand, three hundred thirteen".