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10522226201 = 19229147441
BaseRepresentation
bin10011100110010110…
…00110111000011001
31000011022102110210112
421303023012320121
5133022142214301
64500035454105
7521515306214
oct116313067031
930138373715
1010522226201
11450a582313
122057a57335
13cb8c55066
1471b66277b
15418b669bb
hex2732c6e19

10522226201 has 6 divisors (see below), whose sum is σ = 11105175402. Its totient is φ = 9968424480.

The previous prime is 10522226179. The next prime is 10522226207. The reversal of 10522226201 is 10262222501.

10522226201 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 only one way, i.e., 10511170576 + 11055625 = 102524^2 + 3325^2 .

It is not a de Polignac number, because 10522226201 - 222 = 10518031897 is a prime.

It is a super-2 number, since 2×105222262012 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10522226207) 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 5 ways as a sum of consecutive naturals, for example, 14573360 + ... + 14574081.

It is an arithmetic number, because the mean of its divisors is an integer number (1850862567).

Almost surely, 210522226201 is an apocalyptic number.

It is an amenable number.

10522226201 is a deficient number, since it is larger than the sum of its proper divisors (582949201).

10522226201 is an equidigital number, since it uses as much as digits as its factorization.

10522226201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29147479 (or 29147460 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 23.

Adding to 10522226201 its reverse (10262222501), we get a palindrome (20784448702).

The spelling of 10522226201 in words is "ten billion, five hundred twenty-two million, two hundred twenty-six thousand, two hundred one".

Divisors: 1 19 361 29147441 553801379 10522226201