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10800972287 = 717471931159
BaseRepresentation
bin10100000111100100…
…11100000111111111
31000212201221020112122
422003302130013333
5134110022103122
64543434153155
7531441515060
oct120362340777
930781836478
1010800972287
11464295a386
1221152827bb
131031920a81
147466a2567
15433378142
hex283c9c1ff

10800972287 has 16 divisors (see below), whose sum is σ = 13348177920. Its totient is φ = 8527993728.

The previous prime is 10800972277. The next prime is 10800972307. The reversal of 10800972287 is 78227900801.

It is a cyclic number.

It is not a de Polignac number, because 10800972287 - 26 = 10800972223 is a prime.

It is a super-2 number, since 2×108009722872 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10800972257) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 959987 + ... + 971172.

It is an arithmetic number, because the mean of its divisors is an integer number (834261120).

Almost surely, 210800972287 is an apocalyptic number.

10800972287 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

10800972287 is a deficient number, since it is larger than the sum of its proper divisors (2547205633).

10800972287 is a wasteful number, since it uses less digits than its factorization.

10800972287 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1931230.

The product of its (nonzero) digits is 112896, while the sum is 44.

The spelling of 10800972287 in words is "ten billion, eight hundred million, nine hundred seventy-two thousand, two hundred eighty-seven".

Divisors: 1 7 17 47 119 329 799 5593 1931159 13518113 32829703 90764473 229807921 635351311 1542996041 10800972287