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110212332001 = 1761891194157
BaseRepresentation
bin110011010100100101…
…0101011100111100001
3101112110212221120010021
41212221022223213201
53301203324111001
6122344132433441
710651110236122
oct1465112534741
9345425846107
10110212332001
1142816a96302
1219439a78881
13a5154b1345
145497496049
152d00a8aba1
hex19a92ab9e1

110212332001 has 16 divisors (see below), whose sum is σ = 119941229520. Its totient is φ = 100882298880.

The previous prime is 110212331981. The next prime is 110212332059. The reversal of 110212332001 is 100233212011.

It can be written as a sum of positive squares in 8 ways, for example, as 27291370401 + 82920961600 = 165201^2 + 287960^2 .

It is a cyclic number.

It is not a de Polignac number, because 110212332001 - 215 = 110212299233 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (110212332071) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 504786 + ... + 689371.

It is an arithmetic number, because the mean of its divisors is an integer number (7496326845).

Almost surely, 2110212332001 is an apocalyptic number.

It is an amenable number.

110212332001 is a deficient number, since it is larger than the sum of its proper divisors (9728897519).

110212332001 is a wasteful number, since it uses less digits than its factorization.

110212332001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1194324.

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 110212332001 its reverse (100233212011), we get a palindrome (210445544012).

The spelling of 110212332001 in words is "one hundred ten billion, two hundred twelve million, three hundred thirty-two thousand, one".

Divisors: 1 17 61 89 1037 1513 5429 92293 1194157 20300669 72843577 106279973 1238340809 1806759541 6483078353 110212332001