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110212101212031 = 327133744312596521
BaseRepresentation
bin11001000011110011000001…
…001001001000011101111111
3112110020011200211101201202200
4121003303001021020131333
5103421203340402241111
61030222423524522543
732133363416211240
oct3103630111103577
9473204624351680
10110212101212031
1132131764a02075
121043ba15850453
134965c58701510
141d30419268cc7
15cb1d0a24b256
hex643cc124877f

110212101212031 has 192 divisors, whose sum is σ = 201873485399040. Its totient is φ = 56381516605440.

The previous prime is 110212101212029. The next prime is 110212101212033. The reversal of 110212101212031 is 130212101212011.

It is a happy number.

110212101212031 is a `hidden beast` number, since 110 + 21 + 210 + 121 + 203 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (110212101212029) and next prime (110212101212033).

It is not a de Polignac number, because 110212101212031 - 21 = 110212101212029 is a prime.

It is a super-2 number, since 2×1102121012120312 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 110212101211995 and 110212101212013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110212101212033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 16901101051 + ... + 16901107571.

It is an arithmetic number, because the mean of its divisors is an integer number (1051424403120).

Almost surely, 2110212101212031 is an apocalyptic number.

110212101212031 is a deficient number, since it is larger than the sum of its proper divisors (91661384187009).

110212101212031 is a wasteful number, since it uses less digits than its factorization.

110212101212031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8286 (or 8283 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 18.

Adding to 110212101212031 its reverse (130212101212011), we get a palindrome (240424202424042).

The spelling of 110212101212031 in words is "one hundred ten trillion, two hundred twelve billion, one hundred one million, two hundred twelve thousand, thirty-one".