Search a number
-
+
110120112122202 = 232713372118611297
BaseRepresentation
bin11001000010011101010110…
…001010100110100101011010
3112102220101020221200210100200
4121002131112022212211122
5103413201442200402302
61030112251531243030
732123626014643050
oct3102352612464532
9472811227623320
10110120112122202
11320a674a516396
12104260228a9476
13495a388784b10
141d29bb01121d0
15cae72446481c
hex6427562a695a

110120112122202 has 192 divisors, whose sum is σ = 303019589693184. Its totient is φ = 28123803832320.

The previous prime is 110120112122177. The next prime is 110120112122269. The reversal of 110120112122202 is 202221211021011.

110120112122202 is a `hidden beast` number, since 110 + 120 + 1 + 1 + 212 + 220 + 2 = 666.

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

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, 8482218 + ... + 17093514.

It is an arithmetic number, because the mean of its divisors is an integer number (1578227029652).

Almost surely, 2110120112122202 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 110120112122202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151509794846592).

110120112122202 is an abundant number, since it is smaller than the sum of its proper divisors (192899477570982).

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

110120112122202 is a wasteful number, since it uses less digits than its factorization.

110120112122202 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8611573 (or 8611570 counting only the distinct ones).

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

Adding to 110120112122202 its reverse (202221211021011), we get a palindrome (312341323143213).

The spelling of 110120112122202 in words is "one hundred ten trillion, one hundred twenty billion, one hundred twelve million, one hundred twenty-two thousand, two hundred two".