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110212101 = 32118110369
BaseRepresentation
bin1101001000110…
…11010000000101
321200101100120200
412210123100011
5211203241401
614534121113
72505534036
oct644332005
9250340520
10110212101
1157236a8a
1230ab0199
1319aaaa7c
14108cca8d
159a20686
hex691b405

110212101 has 12 divisors (see below), whose sum is σ = 159345420. Its totient is φ = 73405440.

The previous prime is 110212087. The next prime is 110212117. The reversal of 110212101 is 101212011.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 52056225 + 58155876 = 7215^2 + 7626^2 .

It is not a de Polignac number, because 110212101 - 213 = 110203909 is a prime.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110212121) 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 11 ways as a sum of consecutive naturals, for example, 5445 + ... + 15813.

It is an arithmetic number, because the mean of its divisors is an integer number (13278785).

Almost surely, 2110212101 is an apocalyptic number.

It is an amenable number.

110212101 is a deficient number, since it is larger than the sum of its proper divisors (49133319).

110212101 is a wasteful number, since it uses less digits than its factorization.

110212101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11556 (or 11553 counting only the distinct ones).

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

The square root of 110212101 is about 10498.1951305927. The cubic root of 110212101 is about 479.4497470571.

Adding to 110212101 its reverse (101212011), we get a palindrome (211424112).

It can be divided in two parts, 1102 and 12101, that added together give a triangular number (13203 = T162).

The spelling of 110212101 in words is "one hundred ten million, two hundred twelve thousand, one hundred one".

Divisors: 1 3 9 1181 3543 10369 10629 31107 93321 12245789 36737367 110212101