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601007117 is a prime number
BaseRepresentation
bin100011110100101…
…010010000001101
31112212220022202212
4203310222100031
52212324211432
6135345400205
720615322224
oct4364522015
91485808685
10601007117
112892865a7
12149339065
139768c119
1459b69cbb
1537b6b2b2
hex23d2a40d

601007117 has 2 divisors, whose sum is σ = 601007118. Its totient is φ = 601007116.

The previous prime is 601007101. The next prime is 601007129. The reversal of 601007117 is 711700106.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 513883561 + 87123556 = 22669^2 + 9334^2 .

It is a cyclic number.

It is not a de Polignac number, because 601007117 - 24 = 601007101 is a prime.

It is a super-2 number, since 2×6010071172 = 722419109369303378, which contains 22 as substring.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 601007092 and 601007101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (601009117) 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, 300503558 + 300503559.

It is an arithmetic number, because the mean of its divisors is an integer number (300503559).

Almost surely, 2601007117 is an apocalyptic number.

It is an amenable number.

601007117 is a deficient number, since it is larger than the sum of its proper divisors (1).

601007117 is an equidigital number, since it uses as much as digits as its factorization.

601007117 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 294, while the sum is 23.

The square root of 601007117 is about 24515.4464980755. The cubic root of 601007117 is about 843.9043100524.

The spelling of 601007117 in words is "six hundred one million, seven thousand, one hundred seventeen".