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112300101 = 349714293
BaseRepresentation
bin1101011000110…
…01000001000101
321211022102210000
412230121001011
5212222100401
615050551513
72532351354
oct654310105
9254272700
10112300101
1158432801
1231738599
131a35c284
1410cb399b
159cd4186
hex6b19045

112300101 has 20 divisors (see below), whose sum is σ = 169498252. Its totient is φ = 74089728.

The previous prime is 112300087. The next prime is 112300117. The reversal of 112300101 is 101003211.

It can be written as a sum of positive squares in 2 ways, for example, as 16769025 + 95531076 = 4095^2 + 9774^2 .

It is not a de Polignac number, because 112300101 - 218 = 112037957 is a prime.

It is a super-2 number, since 2×1123001012 = 25222625369220402, which contains 22 as substring.

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

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112300121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 711 + ... + 15003.

Almost surely, 2112300101 is an apocalyptic number.

It is an amenable number.

112300101 is a deficient number, since it is larger than the sum of its proper divisors (57198151).

112300101 is an equidigital number, since it uses as much as digits as its factorization.

112300101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14402 (or 14393 counting only the distinct ones).

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

The square root of 112300101 is about 10597.1741988136. The cubic root of 112300101 is about 482.4585963201.

Adding to 112300101 its reverse (101003211), we get a palindrome (213303312).

The spelling of 112300101 in words is "one hundred twelve million, three hundred thousand, one hundred one".

Divisors: 1 3 9 27 81 97 291 873 2619 7857 14293 42879 128637 385911 1157733 1386421 4159263 12477789 37433367 112300101