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10532268201 = 372138396569
BaseRepresentation
bin10011100111100010…
…11010100010101001
31000012000022122211110
421303301122202221
5133032230040301
64501035020533
7521666542200
oct116361324251
930160278743
1010532268201
114515210a94
12205b29a749
13cbb05ca80
1471cb18237
1541999c0d6
hex273c5a8a9

10532268201 has 48 divisors (see below), whose sum is σ = 17616009600. Its totient is φ = 5548015872.

The previous prime is 10532268181. The next prime is 10532268217. The reversal of 10532268201 is 10286223501.

10532268201 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10532268201 - 29 = 10532267689 is a prime.

It is a super-2 number, since 2×105322682012 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10532268221) 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 47 ways as a sum of consecutive naturals, for example, 1600045 + ... + 1606613.

It is an arithmetic number, because the mean of its divisors is an integer number (367000200).

Almost surely, 210532268201 is an apocalyptic number.

It is an amenable number.

10532268201 is a deficient number, since it is larger than the sum of its proper divisors (7083741399).

10532268201 is a wasteful number, since it uses less digits than its factorization.

10532268201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7438 (or 7431 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The spelling of 10532268201 in words is "ten billion, five hundred thirty-two million, two hundred sixty-eight thousand, two hundred one".

Divisors: 1 3 7 13 21 39 49 91 147 273 637 839 1911 2517 5873 6569 10907 17619 19707 32721 41111 45983 76349 85397 123333 137949 229047 256191 321881 534443 597779 965643 1603329 1793337 4184453 5511391 12553359 16534173 38579737 71648083 115739211 214944249 270058159 501536581 810174477 1504609743 3510756067 10532268201