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10112132200 = 235250560661
BaseRepresentation
bin10010110101011101…
…01110010001101000
3222002201202112120211
421122232232101220
5131202201212300
64351230030504
7505405463662
oct113256562150
928081675524
1010112132200
11431a042655
121b62648434
13c51cbb1a1
146bcdd1532
153e2b5c4ba
hex25abae468

10112132200 has 24 divisors (see below), whose sum is σ = 23510707830. Its totient is φ = 4044852800.

The previous prime is 10112132171. The next prime is 10112132201. The reversal of 10112132200 is 223121101.

10112132200 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 3 ways, for example, as 5339809476 + 4772322724 = 73074^2 + 69082^2 .

It is not an unprimeable number, because it can be changed into a prime (10112132201) 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, 25280131 + ... + 25280530.

Almost surely, 210112132200 is an apocalyptic number.

10112132200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10112132200 is an abundant number, since it is smaller than the sum of its proper divisors (13398575630).

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

10112132200 is a wasteful number, since it uses less digits than its factorization.

10112132200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50560677 (or 50560668 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 10112132200 its reverse (223121101), we get a palindrome (10335253301).

The spelling of 10112132200 in words is "ten billion, one hundred twelve million, one hundred thirty-two thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 50560661 101121322 202242644 252803305 404485288 505606610 1011213220 1264016525 2022426440 2528033050 5056066100 10112132200