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112001300010 = 23251244458889
BaseRepresentation
bin110100001001111001…
…1000011011000101010
3101201002120012112212200
41220103303003120222
53313334313100020
6123241440321030
711043332225235
oct1502363033052
9351076175780
10112001300010
11435548a5466
1219859013176
13a73c00abb2
1455c6cda41c
152da7b65590
hex1a13cc362a

112001300010 has 24 divisors (see below), whose sum is σ = 291203380260. Its totient is φ = 29867013312.

The previous prime is 112001300009. The next prime is 112001300077. The reversal of 112001300010 is 10003100211.

112001300010 is digitally balanced in base 3, 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 2 ways, for example, as 110974930641 + 1026369369 = 333129^2 + 32037^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 112001299965 and 112001300001.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 622229355 + ... + 622229534.

Almost surely, 2112001300010 is an apocalyptic number.

112001300010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

112001300010 is an abundant number, since it is smaller than the sum of its proper divisors (179202080250).

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

112001300010 is a wasteful number, since it uses less digits than its factorization.

112001300010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1244458902 (or 1244458899 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

Adding to 112001300010 its reverse (10003100211), we get a palindrome (122004400221).

The spelling of 112001300010 in words is "one hundred twelve billion, one million, three hundred thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 1244458889 2488917778 3733376667 6222294445 7466753334 11200130001 12444588890 18666883335 22400260002 37333766670 56000650005 112001300010