Search a number
-
+
110222022001122 = 23253115536710693
BaseRepresentation
bin11001000011111100010000…
…011101111100000111100010
3112110021010022020010000221200
4121003330100131330013202
5103421334200113013442
61030231144201502030
732134164312424503
oct3103742035740742
9473233266100850
10110222022001122
1132135995a34819
12104419241a1916
134966b79b76815
141d30abaa8cbaa
15cb21db1ae34c
hex643f1077c1e2

110222022001122 has 24 divisors (see below), whose sum is σ = 243320312721564. Its totient is φ = 36047453735904.

The previous prime is 110222022001087. The next prime is 110222022001139. The reversal of 110222022001122 is 221100220222011.

It is a happy number.

110222022001122 is a `hidden beast` number, since 1 + 102 + 220 + 220 + 0 + 1 + 122 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 105571741085721 + 4650280915401 = 10274811^2 + 2156451^2 .

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 = 110222022001095 and 110222022001104.

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 11 ways as a sum of consecutive naturals, for example, 57768354393 + ... + 57768356300.

Almost surely, 2110222022001122 is an apocalyptic number.

110222022001122 is an abundant number, since it is smaller than the sum of its proper divisors (133098290720442).

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

110222022001122 is a wasteful number, since it uses less digits than its factorization.

110222022001122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115536710754 (or 115536710751 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 110222022001122 its reverse (221100220222011), we get a palindrome (331322242223133).

The spelling of 110222022001122 in words is "one hundred ten trillion, two hundred twenty-two billion, twenty-two million, one thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 53 106 159 318 477 954 115536710693 231073421386 346610132079 693220264158 1039830396237 2079660792474 6123445666729 12246891333458 18370337000187 36740674000374 55111011000561 110222022001122