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10036214827 = 1928110911723
BaseRepresentation
bin10010101100011010…
…00111110000101011
3221220102220112112021
421112031013300223
5131023232333302
64335514525311
7503464263352
oct112615076053
927812815467
1010036214827
1142901aa821
121b41136837
13c3c35a172
146b2cac999
153db163437
hex256347c2b

10036214827 has 16 divisors (see below), whose sum is σ = 10617909120. Its totient is φ = 9459979200.

The previous prime is 10036214801. The next prime is 10036214831. The reversal of 10036214827 is 72841263001.

10036214827 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 10036214827 - 215 = 10036182059 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10036214792 and 10036214801.

It is not an unprimeable number, because it can be changed into a prime (10036211827) 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 15 ways as a sum of consecutive naturals, for example, 5823988 + ... + 5825710.

It is an arithmetic number, because the mean of its divisors is an integer number (663619320).

Almost surely, 210036214827 is an apocalyptic number.

10036214827 is a deficient number, since it is larger than the sum of its proper divisors (581694293).

10036214827 is a wasteful number, since it uses less digits than its factorization.

10036214827 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3114.

The product of its (nonzero) digits is 16128, while the sum is 34.

Adding to 10036214827 its reverse (72841263001), we get a palindrome (82877477828).

The spelling of 10036214827 in words is "ten billion, thirty-six million, two hundred fourteen thousand, eight hundred twenty-seven".

Divisors: 1 19 281 1091 1723 5339 20729 32737 306571 484163 1879793 5824849 9199097 35716067 528221833 10036214827