Search a number
-
+
110012101110 = 232537148122307
BaseRepresentation
bin110011001110100111…
…0110111000111110110
3101111221221011202222100
41212131032313013312
53300301044213420
6122312221042530
710643126300442
oct1463516670766
9344857152870
10110012101110
1142723a6592a
12193a29b6446
13a4b2b75c22
145478a53822
152cdd1d8190
hex199d3b71f6

110012101110 has 96 divisors (see below), whose sum is σ = 293973574752. Its totient is φ = 28523128320.

The previous prime is 110012101103. The next prime is 110012101183. The reversal of 110012101110 is 11101210011.

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 = 110012101092 and 110012101101.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 4920577 + ... + 4942883.

It is an arithmetic number, because the mean of its divisors is an integer number (3062224737).

Almost surely, 2110012101110 is an apocalyptic number.

110012101110 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 110012101110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146986787376).

110012101110 is an abundant number, since it is smaller than the sum of its proper divisors (183961473642).

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

110012101110 is a wasteful number, since it uses less digits than its factorization.

110012101110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23838 (or 23835 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 110012101110 its reverse (11101210011), we get a palindrome (121113311121).

The spelling of 110012101110 in words is "one hundred ten billion, twelve million, one hundred one thousand, one hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 37 45 74 90 111 185 222 333 370 555 666 1110 1481 1665 2962 3330 4443 7405 8886 13329 14810 22215 22307 26658 44430 44614 54797 66645 66921 109594 111535 133290 133842 164391 200763 223070 273985 328782 334605 401526 493173 547970 669210 821955 825359 986346 1003815 1643910 1650718 2007630 2465865 2476077 4126795 4931730 4952154 7428231 8253590 12380385 14856462 24760770 33036667 37141155 66073334 74282310 99110001 165183335 198220002 297330003 330366670 495550005 594660006 991100010 1222356679 1486650015 2444713358 2973300030 3667070037 6111783395 7334140074 11001210111 12223566790 18335350185 22002420222 36670700370 55006050555 110012101110