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110012012012 = 22743307297629
BaseRepresentation
bin110011001110100111…
…0100001010111101100
3101111221221000020202102
41212131032201113230
53300301033341022
6122312215114232
710643125446620
oct1463516412754
9344857006672
10110012012012
1142723a049a1
12193a2972978
13a4b2b444c6
145478a2d180
152cdd1bba92
hex199d3a15ec

110012012012 has 48 divisors (see below), whose sum is σ = 225874978560. Its totient is φ = 45901380672.

The previous prime is 110012011961. The next prime is 110012012023. The reversal of 110012012012 is 210210210011.

110012012012 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 110012011984 and 110012012002.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 220814 + ... + 518442.

It is an arithmetic number, because the mean of its divisors is an integer number (4705728720).

Almost surely, 2110012012012 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 110012012012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112937489280).

110012012012 is an abundant number, since it is smaller than the sum of its proper divisors (115862966548).

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

110012012012 is a wasteful number, since it uses less digits than its factorization.

110012012012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 297990 (or 297988 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 110012012012 its reverse (210210210011), we get a palindrome (320222222023).

The spelling of 110012012012 in words is "one hundred ten billion, twelve million, twelve thousand, twelve".

Divisors: 1 2 4 7 14 28 43 86 172 301 307 602 614 1204 1228 2149 4298 8596 13201 26402 52804 92407 184814 297629 369628 595258 1190516 2083403 4166806 8333612 12798047 25596094 51192188 89586329 91372103 179172658 182744206 358345316 365488412 639604721 1279209442 2558418884 3929000429 7858000858 15716001716 27503003003 55006006006 110012012012