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10127635201 = 37327151837
BaseRepresentation
bin10010110111010011…
…10111001100000001
3222010210221011201001
421123221313030001
5131220133311301
64352542212001
7505654323145
oct113351671401
928123834631
1010127635201
114327871252
121b67884001
13c55288768
146c10a9225
153e41c0c01
hex25ba77301

10127635201 has 4 divisors (see below), whose sum is σ = 10154787412. Its totient is φ = 10100482992.

The previous prime is 10127635169. The next prime is 10127635207. The reversal of 10127635201 is 10253672101.

It is a happy number.

10127635201 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 10253672101 = 37277126273.

It can be written as a sum of positive squares in 2 ways, for example, as 7426130625 + 2701504576 = 86175^2 + 51976^2 .

It is a cyclic number.

It is not a de Polignac number, because 10127635201 - 25 = 10127635169 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 10127635201.

It is not an unprimeable number, because it can be changed into a prime (10127635207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 13575546 + ... + 13576291.

It is an arithmetic number, because the mean of its divisors is an integer number (2538696853).

Almost surely, 210127635201 is an apocalyptic number.

It is an amenable number.

10127635201 is a deficient number, since it is larger than the sum of its proper divisors (27152211).

10127635201 is an equidigital number, since it uses as much as digits as its factorization.

10127635201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27152210.

The product of its (nonzero) digits is 2520, while the sum is 28.

The spelling of 10127635201 in words is "ten billion, one hundred twenty-seven million, six hundred thirty-five thousand, two hundred one".

Divisors: 1 373 27151837 10127635201