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10011131100 = 22325211123479
BaseRepresentation
bin10010101001011010…
…11011110011011100
3221211200201011010100
421110231123303130
5131000322143400
64333221141100
7503041132065
oct112455336334
927750634110
1010011131100
114278027a73
121b3485a790
13c370b6b19
146ad81d56c
153d8d5b100
hex254b5bcdc

10011131100 has 54 divisors (see below), whose sum is σ = 31379337080. Its totient is φ = 2669634720.

The previous prime is 10011131099. The next prime is 10011131149. The reversal of 10011131100 is 113111001.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

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 17 ways as a sum of consecutive naturals, for example, 5560840 + ... + 5562639.

Almost surely, 210011131100 is an apocalyptic number.

10011131100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10011131100 is an abundant number, since it is smaller than the sum of its proper divisors (21368205980).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10011131100 is a wasteful number, since it uses less digits than its factorization.

10011131100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11123499 (or 11123489 counting only the distinct ones).

The product of its (nonzero) digits is 3, while the sum is 9.

Adding to 10011131100 its reverse (113111001), we get a palindrome (10124242101).

The spelling of 10011131100 in words is "ten billion, eleven million, one hundred thirty-one thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 450 900 11123479 22246958 33370437 44493916 55617395 66740874 100111311 111234790 133481748 166852185 200222622 222469580 278086975 333704370 400445244 500556555 556173950 667408740 834260925 1001113110 1112347900 1668521850 2002226220 2502782775 3337043700 5005565550 10011131100