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110110031010 = 232572194313049
BaseRepresentation
bin110011010001100010…
…0011011110010100010
3101112012202110010112200
41212203010123302202
53301001131443020
6122330040034030
710645425551400
oct1464304336242
9345182403480
10110110031010
1142774273031
121940b762916
13a4ca243405
145487a66470
152ce6ace590
hex19a311bca2

110110031010 has 288 divisors, whose sum is σ = 351482976000. Its totient is φ = 23780252160.

The previous prime is 110110030993. The next prime is 110110031021. The reversal of 110110031010 is 10130011011.

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 = 110110030983 and 110110031001.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 36111966 + ... + 36115014.

It is an arithmetic number, because the mean of its divisors is an integer number (1220427000).

Almost surely, 2110110031010 is an apocalyptic number.

110110031010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 110110031010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175741488000).

110110031010 is an abundant number, since it is smaller than the sum of its proper divisors (241372944990).

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

110110031010 is a wasteful number, since it uses less digits than its factorization.

110110031010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3526 (or 3516 counting only the distinct ones).

The product of its (nonzero) digits is 3, while the sum is 9.

Adding to 110110031010 its reverse (10130011011), we get a palindrome (120240042021).

The spelling of 110110031010 in words is "one hundred ten billion, one hundred ten million, thirty-one thousand, ten".