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10586143901 is a prime number
BaseRepresentation
bin10011101101111101…
…11011110010011101
31000022202200211101202
421312332323302131
5133140023101101
64510241445245
7523222511204
oct116676736235
930282624352
1010586143901
114542669663
122075340825
13cc9274298
14725d4023b
1541e59036b
hex276fbbc9d

10586143901 has 2 divisors, whose sum is σ = 10586143902. Its totient is φ = 10586143900.

The previous prime is 10586143891. The next prime is 10586143907. The reversal of 10586143901 is 10934168501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10511580676 + 74563225 = 102526^2 + 8635^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10586143901 is a prime.

It is a super-2 number, since 2×105861439012 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10586143907) 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, 5293071950 + 5293071951.

It is an arithmetic number, because the mean of its divisors is an integer number (5293071951).

Almost surely, 210586143901 is an apocalyptic number.

It is an amenable number.

10586143901 is a deficient number, since it is larger than the sum of its proper divisors (1).

10586143901 is an equidigital number, since it uses as much as digits as its factorization.

10586143901 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 25920, while the sum is 38.

The spelling of 10586143901 in words is "ten billion, five hundred eighty-six million, one hundred forty-three thousand, nine hundred one".