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110001100212 = 22323055586117
BaseRepresentation
bin110011001110010010…
…0111001010110110100
3101111221011110212120200
41212130210321112310
53300240240201322
6122311145200500
710642633632033
oct1463444712664
9344834425520
10110001100212
1142718831783
121939b190130
13a4b07c3913
1454773cc71a
152cdc2638ac
hex199c9395b4

110001100212 has 18 divisors (see below), whose sum is σ = 278058336738. Its totient is φ = 36667033392.

The previous prime is 110001100199. The next prime is 110001100247. The reversal of 110001100212 is 212001100011.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 104843849616 + 5157250596 = 323796^2 + 71814^2 .

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 = 110001100194 and 110001100203.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1527793023 + ... + 1527793094.

Almost surely, 2110001100212 is an apocalyptic number.

110001100212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

110001100212 is an abundant number, since it is smaller than the sum of its proper divisors (168057236526).

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

110001100212 is a wasteful number, since it uses less digits than its factorization.

110001100212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3055586127 (or 3055586122 counting only the distinct ones).

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

Adding to 110001100212 its reverse (212001100011), we get a palindrome (322002200223).

The spelling of 110001100212 in words is "one hundred ten billion, one million, one hundred thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 3055586117 6111172234 9166758351 12222344468 18333516702 27500275053 36667033404 55000550106 110001100212