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110020122100 = 22527170991967
BaseRepresentation
bin110011001110110110…
…1011101010111110100
3101111222111021021201001
41212131231131113310
53300310122401400
6122313105013044
710643254415320
oct1463555352764
9344874237631
10110020122100
1142728544149
12193a5624184
13a4b4723a85
145479b40980
152cddc6ea6a
hex199db5d5f4

110020122100 has 72 divisors (see below), whose sum is σ = 273012526080. Its totient is φ = 37698702720.

The previous prime is 110020122073. The next prime is 110020122109. The reversal of 110020122100 is 1221020011.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110020122109) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 1150317 + ... + 1242283.

It is an arithmetic number, because the mean of its divisors is an integer number (3791840640).

Almost surely, 2110020122100 is an apocalyptic number.

110020122100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 110020122100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136506263040).

110020122100 is an abundant number, since it is smaller than the sum of its proper divisors (162992403980).

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

110020122100 is a wasteful number, since it uses less digits than its factorization.

110020122100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93697 (or 93690 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 110020122100 its reverse (1221020011), we get a palindrome (111241142111).

The spelling of 110020122100 in words is "one hundred ten billion, twenty million, one hundred twenty-two thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 175 350 700 1709 3418 6836 8545 11963 17090 23926 34180 42725 47852 59815 85450 91967 119630 170900 183934 239260 299075 367868 459835 598150 643769 919670 1196300 1287538 1839340 2299175 2575076 3218845 4598350 6437690 9196700 12875380 16094225 32188450 64376900 157171603 314343206 628686412 785858015 1100201221 1571716030 2200402442 3143432060 3929290075 4400804884 5501006105 7858580150 11002012210 15717160300 22004024420 27505030525 55010061050 110020122100