Search a number
-
+
11022200120 = 235536418111
BaseRepresentation
bin10100100001111100…
…10110110100111000
31001110011012210002002
422100332112310320
5140033140400440
65021420000132
7540066104141
oct122076266470
931404183062
1011022200120
1147468210a8
122177390048
1310686cb309
14767c0cac8
154479c7115
hex290f96d38

11022200120 has 64 divisors (see below), whose sum is σ = 25310413440. Its totient is φ = 4318412800.

The previous prime is 11022200117. The next prime is 11022200131. The reversal of 11022200120 is 2100222011.

It is a happy number.

11022200120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1354865 + ... + 1362975.

It is an arithmetic number, because the mean of its divisors is an integer number (395475210).

Almost surely, 211022200120 is an apocalyptic number.

11022200120 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 11022200120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12655206720).

11022200120 is an abundant number, since it is smaller than the sum of its proper divisors (14288213320).

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

11022200120 is a wasteful number, since it uses less digits than its factorization.

11022200120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8816 (or 8812 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 11022200120 its reverse (2100222011), we get a palindrome (13122422131).

The spelling of 11022200120 in words is "eleven billion, twenty-two million, two hundred thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 53 106 212 265 424 530 641 1060 1282 2120 2564 3205 5128 6410 8111 12820 16222 25640 32444 33973 40555 64888 67946 81110 135892 162220 169865 271784 324440 339730 429883 679460 859766 1358920 1719532 2149415 3439064 4298830 5199151 8597660 10398302 17195320 20796604 25995755 41593208 51991510 103983020 207966040 275555003 551110006 1102220012 1377775015 2204440024 2755550030 5511100060 11022200120