Search a number
-
+
22122122221100 = 22521122063911527
BaseRepresentation
bin1010000011110101101010…
…01111001001011000101100
32220022212001201210222011202
411001322311033021120230
510344422101242033400
6115014432422105032
74442161545205616
oct501726517113054
986285051728152
1022122122221100
117059a372a9080
1225934b9b7b178
13c461516006a5
14566a05c45db6
152856a92c04d5
hex141eb53c962c

22122122221100 has 72 divisors (see below), whose sum is σ = 52371527674368. Its totient is φ = 8044034644800.

The previous prime is 22122122221081. The next prime is 22122122221109. The reversal of 22122122221100 is 112222122122.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (22122122221109) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23813537 + ... + 24725063.

Almost surely, 222122122221100 is an apocalyptic number.

22122122221100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22122122221100 is an abundant number, since it is smaller than the sum of its proper divisors (30249405453268).

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

22122122221100 is a wasteful number, since it uses less digits than its factorization.

22122122221100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 933615 (or 933608 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 22122122221100 its reverse (112222122122), we get a palindrome (22234344343222).

The spelling of 22122122221100 in words is "twenty-two trillion, one hundred twenty-two billion, one hundred twenty-two million, two hundred twenty-one thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 220 275 550 1100 22063 44126 88252 110315 220630 242693 441260 485386 551575 911527 970772 1103150 1213465 1823054 2206300 2426930 3646108 4557635 4853860 6067325 9115270 10026797 12134650 18230540 20053594 22788175 24269300 40107188 45576350 50133985 91152700 100267970 200535940 250669925 501339850 1002679700 20111020201 40222040402 80444080804 100555101005 201110202010 221221222211 402220404020 442442444422 502775505025 884884888844 1005551010050 1106106111055 2011102020100 2212212222110 4424424444220 5530530555275 11061061110550 22122122221100