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12211100201 = 53974923633
BaseRepresentation
bin10110101111101011…
…01001101000101001
31011112000100011101102
423113311221220221
5200002020201301
65335410131145
7611413432136
oct132765515051
934460304342
1012211100201
1151a6936353
122449580ab5
1311c7b073a1
1483ba8d58d
154b706db6b
hex2d7d69a29

12211100201 has 8 divisors (see below), whose sum is σ = 12443301000. Its totient is φ = 11978966272.

The previous prime is 12211100191. The next prime is 12211100249. The reversal of 12211100201 is 10200111221.

It can be written as a sum of positive squares in 4 ways, for example, as 3352525801 + 8858574400 = 57901^2 + 94120^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 12211100201 - 210 = 12211099177 is a prime.

It is a super-2 number, since 2×122111002012 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12211100281) 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, 504881 + ... + 528513.

It is an arithmetic number, because the mean of its divisors is an integer number (1555412625).

Almost surely, 212211100201 is an apocalyptic number.

It is an amenable number.

12211100201 is a deficient number, since it is larger than the sum of its proper divisors (232200799).

12211100201 is an equidigital number, since it uses as much as digits as its factorization.

12211100201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33435.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 12211100201 its reverse (10200111221), we get a palindrome (22411211422).

The spelling of 12211100201 in words is "twelve billion, two hundred eleven million, one hundred thousand, two hundred one".

Divisors: 1 53 9749 23633 516697 1252549 230398117 12211100201