Search a number
-
+
22110222200100 = 22352233204380029
BaseRepresentation
bin1010000011011111011111…
…11100001010110100100100
32220021201100101211021020020
411001233233330022310210
510344223213340400400
6115005143523235140
74441260626536056
oct501575774126444
986251311737206
1022110222200100
117054990024181
122591138818ab0
13c44ca60a2c48
145661d76118d6
1528520e6ed2a0
hex141beff0ad24

22110222200100 has 72 divisors (see below), whose sum is σ = 66753644784960. Its totient is φ = 5639708849280.

The previous prime is 22110222200081. The next prime is 22110222200153. The reversal of 22110222200100 is 100222201122.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 22110222200100.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1602183115 + ... + 1602196914.

Almost surely, 222110222200100 is an apocalyptic number.

22110222200100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22110222200100 is an abundant number, since it is smaller than the sum of its proper divisors (44643422584860).

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

22110222200100 is a wasteful number, since it uses less digits than its factorization.

22110222200100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3204380069 (or 3204380062 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 22110222200100 its reverse (100222201122), we get a palindrome (22210444401222).

The spelling of 22110222200100 in words is "twenty-two trillion, one hundred ten billion, two hundred twenty-two million, two hundred thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 25 30 46 50 60 69 75 92 100 115 138 150 230 276 300 345 460 575 690 1150 1380 1725 2300 3450 6900 3204380029 6408760058 9613140087 12817520116 16021900145 19226280174 32043800290 38452560348 48065700435 64087600580 73700740667 80109500725 96131400870 147401481334 160219001450 192262801740 221102222001 240328502175 294802962668 320438002900 368503703335 442204444002 480657004350 737007406670 884408888004 961314008700 1105511110005 1474014813340 1842518516675 2211022220010 3685037033350 4422044440020 5527555550025 7370074066700 11055111100050 22110222200100