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12201111101 = 29267321557
BaseRepresentation
bin10110101110011111…
…00010111000111101
31011111022112122220202
423113033202320331
5144441441023401
65334412053245
7611232506324
oct132717427075
934438478822
1012201111101
1151a12333a3
122446164225
1311c5a1a78a
1483a60d0bb
154b624906b
hex2d73e2e3d

12201111101 has 12 divisors (see below), whose sum is σ = 12655710132. Its totient is φ = 11762333184.

The previous prime is 12201111073. The next prime is 12201111103. The reversal of 12201111101 is 10111110221.

It can be written as a sum of positive squares in 6 ways, for example, as 1044259225 + 11156851876 = 32315^2 + 105626^2 .

It is a de Polignac number, because none of the positive numbers 2k-12201111101 is a prime.

It is a super-2 number, since 2×122011111012 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12201111103) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 555215 + ... + 576771.

It is an arithmetic number, because the mean of its divisors is an integer number (1054642511).

Almost surely, 212201111101 is an apocalyptic number.

It is an amenable number.

12201111101 is a deficient number, since it is larger than the sum of its proper divisors (454599031).

12201111101 is an equidigital number, since it uses as much as digits as its factorization.

12201111101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22288 (or 22259 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 12201111101 its reverse (10111110221), we get a palindrome (22312221322).

The spelling of 12201111101 in words is "twelve billion, two hundred one million, one hundred eleven thousand, one hundred one".

Divisors: 1 29 673 841 19517 21557 565993 625153 14507861 18129437 420727969 12201111101