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110132100220122 = 23229320882081953
BaseRepresentation
bin11001000010101000100000…
…101101100100010011011010
3112102221112012102102021010100
4121002220200231210103122
5103413401020124020442
61030121553254000230
732124532053045621
oct3102504055442332
9472845172367110
10110132100220122
1132100841488832
1210428409646076
13495b549310096
141d2a5ca3126b8
15caebc6b3384c
hex642a20b644da

110132100220122 has 24 divisors (see below), whose sum is σ = 239433951684564. Its totient is φ = 36585407579904.

The previous prime is 110132100220073. The next prime is 110132100220133. The reversal of 110132100220122 is 221022001231011.

110132100220122 is a `hidden beast` number, since 1 + 1 + 0 + 1 + 321 + 0 + 0 + 220 + 122 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 72134972819361 + 37997127400761 = 8493231^2 + 6164181^2 .

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 = 110132100220095 and 110132100220104.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10441035703 + ... + 10441046250.

Almost surely, 2110132100220122 is an apocalyptic number.

110132100220122 is an abundant number, since it is smaller than the sum of its proper divisors (129301851464442).

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

110132100220122 is a wasteful number, since it uses less digits than its factorization.

110132100220122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20882082254 (or 20882082251 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 110132100220122 its reverse (221022001231011), we get a palindrome (331154101451133).

The spelling of 110132100220122 in words is "one hundred ten trillion, one hundred thirty-two billion, one hundred million, two hundred twenty thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 293 586 879 1758 2637 5274 20882081953 41764163906 62646245859 125292491718 187938737577 375877475154 6118450012229 12236900024458 18355350036687 36710700073374 55066050110061 110132100220122