Search a number
-
+
110220122202100 = 22527333314532767
BaseRepresentation
bin11001000011111010011111…
…001110110001111111110100
3112110020221101211022020121221
4121003322133032301333310
5103421321302240431400
61030230231454320124
732134066243413031
oct3103723716617764
9473227354266557
10110220122202100
1132135100606689
1210441493ab9044
1349669363b35a1
141d3097a638388
15cb21294e0c1a
hex643e9f3b1ff4

110220122202100 has 72 divisors (see below), whose sum is σ = 242526912228608. Its totient is φ = 43471039046400.

The previous prime is 110220122202037. The next prime is 110220122202221. The reversal of 110220122202100 is 1202221022011.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22049917 + ... + 26582683.

Almost surely, 2110220122202100 is an apocalyptic number.

110220122202100 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 110220122202100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121263456114304).

110220122202100 is an abundant number, since it is smaller than the sum of its proper divisors (132306790026508).

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

110220122202100 is a wasteful number, since it uses less digits than its factorization.

110220122202100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4536185 (or 4536178 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 110220122202100 its reverse (1202221022011), we get a palindrome (111422343224111).

The spelling of 110220122202100 in words is "one hundred ten trillion, two hundred twenty billion, one hundred twenty-two million, two hundred two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 73 100 146 292 365 730 1460 1825 3331 3650 6662 7300 13324 16655 33310 66620 83275 166550 243163 333100 486326 972652 1215815 2431630 4532767 4863260 6079075 9065534 12158150 18131068 22663835 24316300 45327670 90655340 113319175 226638350 330891991 453276700 661783982 1323567964 1654459955 3308919910 6617839820 8272299775 15098646877 16544599550 30197293754 33089199100 60394587508 75493234385 150986468770 301972937540 377466171925 754932343850 1102201222021 1509864687700 2204402444042 4408804888084 5511006110105 11022012220210 22044024440420 27555030550525 55110061101050 110220122202100