Search a number
-
+
110110122221022 = 2327111271847338683
BaseRepresentation
bin11001000010010100000010…
…101110001001110111011110
3112102212102110201221020012200
4121002110002232021313132
5103413021012242033042
61030103520345112330
732123123322121530
oct3102240256116736
9472772421836180
10110110122221022
11320a2493479810
12104240b51886a6
134959455bc21a1
141d2950345b850
15cae33c3edc4c
hex642502b89dde

110110122221022 has 192 divisors, whose sum is σ = 299945573351424. Its totient is φ = 28359388249920.

The previous prime is 110110122221009. The next prime is 110110122221083. The reversal of 110110122221022 is 220122221011011.

110110122221022 is a `hidden beast` number, since 110 + 1 + 101 + 222 + 210 + 22 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 110110122220986 and 110110122221004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 324943293 + ... + 325281975.

It is an arithmetic number, because the mean of its divisors is an integer number (1562216527872).

Almost surely, 2110110122221022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 110110122221022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149972786675712).

110110122221022 is an abundant number, since it is smaller than the sum of its proper divisors (189835451130402).

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

110110122221022 is a wasteful number, since it uses less digits than its factorization.

110110122221022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 340683 (or 340680 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 110110122221022 its reverse (220122221011011), we get a palindrome (330232343232033).

The spelling of 110110122221022 in words is "one hundred ten trillion, one hundred ten billion, one hundred twenty-two million, two hundred twenty-one thousand, twenty-two".