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110220100212213 = 32101121254235657
BaseRepresentation
bin11001000011111010011101…
…111010111001010111110101
3112110020221100021221001011200
4121003322131322321113311
5103421321231123242323
61030230225351123113
732134065555455415
oct3103723572712765
9473227307831150
10110220100212213
113213509a157322
1210441488673499
134966931984514
141d30977752645
15cb21275ea443
hex643e9deb95f5

110220100212213 has 12 divisors (see below), whose sum is σ = 160783116482508. Its totient is φ = 72752541393600.

The previous prime is 110220100212143. The next prime is 110220100212259. The reversal of 110220100212213 is 312212001022011.

110220100212213 is a `hidden beast` number, since 1 + 10 + 220 + 10 + 0 + 212 + 213 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 74926734176529 + 35293366035684 = 8656023^2 + 5940822^2 .

It is not a de Polignac number, because 110220100212213 - 229 = 110219563341301 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110220100212263) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 60627116920 + ... + 60627118737.

It is an arithmetic number, because the mean of its divisors is an integer number (13398593040209).

Almost surely, 2110220100212213 is an apocalyptic number.

It is an amenable number.

110220100212213 is a deficient number, since it is larger than the sum of its proper divisors (50563016270295).

110220100212213 is a wasteful number, since it uses less digits than its factorization.

110220100212213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121254235764 (or 121254235761 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 110220100212213 its reverse (312212001022011), we get a palindrome (422432101234224).

The spelling of 110220100212213 in words is "one hundred ten trillion, two hundred twenty billion, one hundred million, two hundred twelve thousand, two hundred thirteen".

Divisors: 1 3 9 101 303 909 121254235657 363762706971 1091288120913 12246677801357 36740033404071 110220100212213