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11221200211220 = 2251733003530033
BaseRepresentation
bin1010001101001010001110…
…1001110000110100010100
31110201201212201212200022222
42203102203221300310110
52432322004223224340
635510540451441512
72235463542022316
oct243224351606424
943651781780288
1011221200211220
11363697aa8a62a
1213128b12b6298
136352019874bc
142ab1750c57b6
15146d50e278b5
hexa34a3a70d14

11221200211220 has 24 divisors (see below), whose sum is σ = 24950668705704. Its totient is φ = 4224451844096.

The previous prime is 11221200211183. The next prime is 11221200211223. The reversal of 11221200211220 is 2211200212211.

It can be written as a sum of positive squares in 4 ways, for example, as 151778809744 + 11069421401476 = 389588^2 + 3327074^2 .

It is a super-2 number, since 2×112212002112202 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11221200211223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16501764677 + ... + 16501765356.

It is an arithmetic number, because the mean of its divisors is an integer number (1039611196071).

Almost surely, 211221200211220 is an apocalyptic number.

11221200211220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11221200211220 is an abundant number, since it is smaller than the sum of its proper divisors (13729468494484).

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

11221200211220 is a wasteful number, since it uses less digits than its factorization.

11221200211220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33003530059 (or 33003530057 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 11221200211220 its reverse (2211200212211), we get a palindrome (13432400423431).

Subtracting from 11221200211220 its reverse (2211200212211), we obtain a palindrome (9009999999009).

The spelling of 11221200211220 in words is "eleven trillion, two hundred twenty-one billion, two hundred million, two hundred eleven thousand, two hundred twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 340 33003530033 66007060066 132014120132 165017650165 330035300330 561060010561 660070600660 1122120021122 2244240042244 2805300052805 5610600105610 11221200211220