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10010206557 = 34139506369
BaseRepresentation
bin10010101001010011…
…11010000101011101
3221211121222011220000
421110221322011131
5131000103102212
64333145244513
7503030231451
oct112451720535
927747864800
1010010206557
11427755638a
121b34493739
13c36b52060
146ad65c661
153d8c271dc
hex254a7a15d

10010206557 has 20 divisors (see below), whose sum is σ = 16103790780. Its totient is φ = 6160126464.

The previous prime is 10010206553. The next prime is 10010206571. The reversal of 10010206557 is 75560201001.

10010206557 is a `hidden beast` number, since 1 + 0 + 0 + 1 + 0 + 2 + 0 + 655 + 7 = 666.

10010206557 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 4145556996 + 5864649561 = 64386^2 + 76581^2 .

It is not a de Polignac number, because 10010206557 - 22 = 10010206553 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 10010206557.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10010206553) 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 19 ways as a sum of consecutive naturals, for example, 4752132 + ... + 4754237.

It is an arithmetic number, because the mean of its divisors is an integer number (805189539).

Almost surely, 210010206557 is an apocalyptic number.

It is an amenable number.

10010206557 is a deficient number, since it is larger than the sum of its proper divisors (6093584223).

10010206557 is an equidigital number, since it uses as much as digits as its factorization.

10010206557 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9506394 (or 9506385 counting only the distinct ones).

The product of its (nonzero) digits is 2100, while the sum is 27.

Adding to 10010206557 its reverse (75560201001), we get a palindrome (85570407558).

The spelling of 10010206557 in words is "ten billion, ten million, two hundred six thousand, five hundred fifty-seven".

Divisors: 1 3 9 13 27 39 81 117 351 1053 9506369 28519107 85557321 123582797 256671963 370748391 770015889 1112245173 3336735519 10010206557