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110011002012 = 2233232912131259
BaseRepresentation
bin110011001110100101…
…0101010110010011100
3101111221212002221022000
41212131022222302130
53300300304031022
6122312141322300
710643114042202
oct1463512526234
9344855087260
10110011002012
114272338508a
12193a2566390
13a4b287c882
145478849072
152cdd06c6ac
hex199d2aac9c

110011002012 has 192 divisors, whose sum is σ = 308375424000. Its totient is φ = 33811658496.

The previous prime is 110011002007. The next prime is 110011002037. The reversal of 110011002012 is 210200110011.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 110011001985 and 110011002003.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 87379039 + ... + 87380297.

It is an arithmetic number, because the mean of its divisors is an integer number (1606122000).

Almost surely, 2110011002012 is an apocalyptic number.

110011002012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 110011002012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154187712000).

110011002012 is an abundant number, since it is smaller than the sum of its proper divisors (198364421988).

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

110011002012 is a wasteful number, since it uses less digits than its factorization.

110011002012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2537 (or 2529 counting only the distinct ones).

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

Adding to 110011002012 its reverse (210200110011), we get a palindrome (320211112023).

The spelling of 110011002012 in words is "one hundred ten billion, eleven million, two thousand, twelve".