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12220111111 = 137119496793
BaseRepresentation
bin10110110000110000…
…00001100100000111
31011112122021222000211
423120120001210013
5200011322023421
65340331220251
7611553142045
oct133030014407
934478258024
1012220111111
115200a3038a
1224505a7687
1311c99409a0
1483cd57395
154b7c4d9e1
hex2d8601907

12220111111 has 16 divisors (see below), whose sum is σ = 13354286400. Its totient is φ = 11113885440.

The previous prime is 12220111109. The next prime is 12220111153. The reversal of 12220111111 is 11111102221.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 12220111111 - 21 = 12220111109 is a prime.

It is a super-2 number, since 2×122201111112 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (13).

12220111111 is a modest number, since divided by 111111 gives 12220 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 12220111091 and 12220111100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12220111511) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1795531 + ... + 1802323.

It is an arithmetic number, because the mean of its divisors is an integer number (834642900).

Almost surely, 212220111111 is an apocalyptic number.

12220111111 is a deficient number, since it is larger than the sum of its proper divisors (1134175289).

12220111111 is a wasteful number, since it uses less digits than its factorization.

12220111111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8826.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 12220111111 its reverse (11111102221), we get a palindrome (23331213332).

The spelling of 12220111111 in words is "twelve billion, two hundred twenty million, one hundred eleven thousand, one hundred eleven".

Divisors: 1 13 71 923 1949 6793 25337 88309 138379 482303 1798927 6269939 13239557 172114241 940008547 12220111111