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10086108601 is a prime number
BaseRepresentation
bin10010110010010110…
…11100110110111001
3222000220210101220211
421121023130312321
5131124020433401
64344500151121
7504641336302
oct113113346671
928026711824
1010086108601
114306388748
121b559984a1
13c497a90ca
146b97797a9
153e071b951
hex2592dcdb9

10086108601 has 2 divisors, whose sum is σ = 10086108602. Its totient is φ = 10086108600.

The previous prime is 10086108581. The next prime is 10086108667. The reversal of 10086108601 is 10680168001.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 6181733376 + 3904375225 = 78624^2 + 62485^2 .

It is an emirp because it is prime and its reverse (10680168001) is a distict prime. It is also a bemirp because it and its reverse can be mirrored producing other two distinct primes, 10980198001 and 10089108901.

It is a cyclic number.

It is not a de Polignac number, because 10086108601 - 25 = 10086108569 is a prime.

It is a super-2 number, since 2×100861086012 (a number of 21 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (10086108001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5043054300 + 5043054301.

It is an arithmetic number, because the mean of its divisors is an integer number (5043054301).

Almost surely, 210086108601 is an apocalyptic number.

It is an amenable number.

10086108601 is a deficient number, since it is larger than the sum of its proper divisors (1).

10086108601 is an equidigital number, since it uses as much as digits as its factorization.

10086108601 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2304, while the sum is 31.

The spelling of 10086108601 in words is "ten billion, eighty-six million, one hundred eight thousand, six hundred one".