Search a number
-
+
110110021100020 = 225231393121551773
BaseRepresentation
bin11001000010010011111100…
…101100011010000111110100
3112102212102012200122202021101
4121002103330230122013310
5103413020310400200040
61030103502333455444
732123120653450234
oct3102237454320764
9472772180582241
10110110021100020
11320a2441392037
1210424087341584
13495943ac78386
141d294d3c57cc4
15cae3335c709a
hex6424fcb1a1f4

110110021100020 has 96 divisors (see below), whose sum is σ = 243098734959360. Its totient is φ = 41812487608320.

The previous prime is 110110021100011. The next prime is 110110021100033. The reversal of 110110021100020 is 20001120011011.

It is a super-2 number, since 2×1101100211000202 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

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 31 ways as a sum of consecutive naturals, for example, 199280854 + ... + 199832626.

It is an arithmetic number, because the mean of its divisors is an integer number (2532278489160).

Almost surely, 2110110021100020 is an apocalyptic number.

110110021100020 is a gapful number since it is divisible by the number (10) 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 110110021100020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121549367479680).

110110021100020 is an abundant number, since it is smaller than the sum of its proper divisors (132988713859340).

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

110110021100020 is a wasteful number, since it uses less digits than its factorization.

110110021100020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 555065 (or 555063 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 110110021100020 its reverse (20001120011011), we get a palindrome (130111141111031).

The spelling of 110110021100020 in words is "one hundred ten trillion, one hundred ten billion, twenty-one million, one hundred thousand, twenty".

Divisors: 1 2 4 5 10 20 23 46 92 115 139 230 278 460 556 695 1390 2780 3121 3197 6242 6394 12484 12788 15605 15985 31210 31970 62420 63940 71783 143566 287132 358915 433819 551773 717830 867638 1103546 1435660 1735276 2169095 2207092 2758865 4338190 5517730 8676380 9977837 11035460 12690779 19955674 25381558 39911348 49889185 50763116 63453895 76696447 99778370 126907790 153392894 199556740 253815580 306785788 383482235 766964470 1533928940 1722083533 1764018281 3444167066 3528036562 6888334132 7056073124 8610417665 8820091405 17220835330 17640182810 34441670660 35280365620 39607921259 79215842518 158431685036 198039606295 239369611087 396079212590 478739222174 792158425180 957478444348 1196848055435 2393696110870 4787392221740 5505501055001 11011002110002 22022004220004 27527505275005 55055010550010 110110021100020