Search a number
-
+
22202120121100 = 2252979672366989
BaseRepresentation
bin1010000110001010101010…
…11110111010101100001100
32220121111112220222100111221
411003011111132322230030
510402224420222333400
6115115302502453124
74451023143143023
oct503052536725414
986544486870457
1022202120121100
11708a959000417
1225a6b051341a4
13c5086017b6aa
1456a8345d58ba
152877dc4c6c1a
hex1431557bab0c

22202120121100 has 72 divisors (see below), whose sum is σ = 48725644241120. Its totient is φ = 8780199966720.

The previous prime is 22202120121079. The next prime is 22202120121101. The reversal of 22202120121100 is 112102120222.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (22202120121101) 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, 8196406 + ... + 10563394.

Almost surely, 222202120121100 is an apocalyptic number.

22202120121100 is a gapful number since it is divisible by the number (20) 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 22202120121100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24362822120560).

22202120121100 is an abundant number, since it is smaller than the sum of its proper divisors (26523524120020).

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

22202120121100 is a wasteful number, since it uses less digits than its factorization.

22202120121100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2368067 (or 2368060 counting only the distinct ones).

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

Adding to 22202120121100 its reverse (112102120222), we get a palindrome (22314222241322).

The spelling of 22202120121100 in words is "twenty-two trillion, two hundred two billion, one hundred twenty million, one hundred twenty-one thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 97 100 194 388 485 967 970 1934 1940 2425 3868 4835 4850 9670 9700 19340 24175 48350 93799 96700 187598 375196 468995 937990 1875980 2344975 2366989 4689950 4733978 9379900 9467956 11834945 23669890 47339780 59174725 118349450 229597933 236698900 459195866 918391732 1147989665 2288878363 2295979330 4577756726 4591958660 5739948325 9155513452 11444391815 11479896650 22888783630 22959793300 45777567260 57221959075 114443918150 222021201211 228887836300 444042402422 888084804844 1110106006055 2220212012110 4440424024220 5550530030275 11101060060550 22202120121100