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110122202120 = 2357256184797
BaseRepresentation
bin110011010001111001…
…0110111010000001000
3101112020121100111011112
41212203302313100020
53301012240431440
6122331152545452
710645634162600
oct1464362672010
9345217314145
10110122202120
11427801263a7
1219413852288
13a4cc915258
145489513c00
152ce7bd5965
hex19a3cb7408

110122202120 has 48 divisors (see below), whose sum is σ = 288228013740. Its totient is φ = 37756182912.

The previous prime is 110122202111. The next prime is 110122202143. The reversal of 110122202120 is 21202221011.

It can be written as a sum of positive squares in 2 ways, for example, as 107771697796 + 2350504324 = 328286^2 + 48482^2 .

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 110122202095 and 110122202104.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 28090439 + ... + 28094358.

Almost surely, 2110122202120 is an apocalyptic number.

110122202120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

110122202120 is an abundant number, since it is smaller than the sum of its proper divisors (178105811620).

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

110122202120 is a wasteful number, since it uses less digits than its factorization.

110122202120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56184822 (or 56184811 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 110122202120 its reverse (21202221011), we get a palindrome (131324423131).

The spelling of 110122202120 in words is "one hundred ten billion, one hundred twenty-two million, two hundred two thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 49 56 70 98 140 196 245 280 392 490 980 1960 56184797 112369594 224739188 280923985 393293579 449478376 561847970 786587158 1123695940 1573174316 1966467895 2247391880 2753055053 3146348632 3932935790 5506110106 7865871580 11012220212 13765275265 15731743160 22024440424 27530550530 55061101060 110122202120