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112101012 = 22323113917
BaseRepresentation
bin1101010111010…
…00011010010100
321210221022200100
412223220122110
5212144213022
615042414100
72530562052
oct653503224
9253838610
10112101012
1158307171
1231661330
131a2bc77a
1410c611d2
159c951ac
hex6ae8694

112101012 has 18 divisors (see below), whose sum is σ = 283366538. Its totient is φ = 37366992.

The previous prime is 112100987. The next prime is 112101013. The reversal of 112101012 is 210101211.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 58430736 + 53670276 = 7644^2 + 7326^2 .

It is a tau number, because it is divible by the number of its divisors (18).

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 = 112100985 and 112101003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112101013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1556923 + ... + 1556994.

Almost surely, 2112101012 is an apocalyptic number.

112101012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

112101012 is an abundant number, since it is smaller than the sum of its proper divisors (171265526).

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

112101012 is a wasteful number, since it uses less digits than its factorization.

112101012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3113927 (or 3113922 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

The square root of 112101012 is about 10587.7765371205. The cubic root of 112101012 is about 482.1733219645.

Adding to 112101012 its reverse (210101211), we get a palindrome (322202223).

It can be divided in two parts, 112 and 101012, that added together give a square (101124 = 3182).

The spelling of 112101012 in words is "one hundred twelve million, one hundred one thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 36 3113917 6227834 9341751 12455668 18683502 28025253 37367004 56050506 112101012