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10112012200 = 235250560061
BaseRepresentation
bin10010110101011100…
…10000111110101000
3222002201112102222101
421122232100332220
5131202133342300
64351223303144
7505404454063
oct113256207650
928081472871
1010112012200
114319a70484
121b625aaab4
13c51c78694
146bcd9d8da
153e2b36b6a
hex25ab90fa8

10112012200 has 24 divisors (see below), whose sum is σ = 23510428830. Its totient is φ = 4044804800.

The previous prime is 10112012189. The next prime is 10112012201. The reversal of 10112012200 is 221021101.

10112012200 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 9671935716 + 440076484 = 98346^2 + 20978^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (10112012201) 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, 25279831 + ... + 25280230.

Almost surely, 210112012200 is an apocalyptic number.

10112012200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10112012200 is an abundant number, since it is smaller than the sum of its proper divisors (13398416630).

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

10112012200 is a wasteful number, since it uses less digits than its factorization.

10112012200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50560077 (or 50560068 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 10112012200 its reverse (221021101), we get a palindrome (10333033301).

The spelling of 10112012200 in words is "ten billion, one hundred twelve million, twelve thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 50560061 101120122 202240244 252800305 404480488 505600610 1011201220 1264001525 2022402440 2528003050 5056006100 10112012200