Search a number
-
+
110012221221210 = 232571135474475551
BaseRepresentation
bin11001000000111000110111…
…010111011110100101011010
3112102112001202211221010220200
4121000320313113132211122
5103404420012113034320
61025550530003003030
732113056253264230
oct3100706727364532
9472461684833820
10110012221221210
1132064a14959610
1210409132369476
1349501532104b9
141d248970a6950
15caba0c5d0290
hex640e375de95a

110012221221210 has 192 divisors, whose sum is σ = 356711662854144. Its totient is φ = 22853232432000.

The previous prime is 110012221221191. The next prime is 110012221221247. The reversal of 110012221221210 is 12122122210011.

110012221221210 is a `hidden beast` number, since 1 + 1 + 0 + 0 + 12 + 221 + 221 + 210 = 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, 22342935 + ... + 26818485.

It is an arithmetic number, because the mean of its divisors is an integer number (1857873244032).

Almost surely, 2110012221221210 is an apocalyptic number.

110012221221210 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 110012221221210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178355831427072).

110012221221210 is an abundant number, since it is smaller than the sum of its proper divisors (246699441632934).

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

110012221221210 is a wasteful number, since it uses less digits than its factorization.

110012221221210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4479129 (or 4479126 counting only the distinct ones).

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

Adding to 110012221221210 its reverse (12122122210011), we get a palindrome (122134343431221).

The spelling of 110012221221210 in words is "one hundred ten trillion, twelve billion, two hundred twenty-one million, two hundred twenty-one thousand, two hundred ten".