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12211100001 = 34150754321
BaseRepresentation
bin10110101111101011…
…01001100101100001
31011112000100011010000
423113311221211201
5200002020200001
65335410130213
7611413431432
oct132765514541
934460304100
1012211100001
1151a6936191
122449580969
1311c7b07279
1483ba8d489
154b706da86
hex2d7d69961

12211100001 has 10 divisors (see below), whose sum is σ = 18241272962. Its totient is φ = 8140733280.

The previous prime is 12211099961. The next prime is 12211100003. The reversal of 12211100001 is 10000111221.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 7073651025 + 5137448976 = 84105^2 + 71676^2 .

It is not a de Polignac number, because 12211100001 - 211 = 12211097953 is a prime.

It is a super-2 number, since 2×122111000012 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (12211100003) 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 9 ways as a sum of consecutive naturals, for example, 75377080 + ... + 75377241.

Almost surely, 212211100001 is an apocalyptic number.

It is an amenable number.

12211100001 is a deficient number, since it is larger than the sum of its proper divisors (6030172961).

12211100001 is an equidigital number, since it uses as much as digits as its factorization.

12211100001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150754333 (or 150754324 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 12211100001 its reverse (10000111221), we get a palindrome (22211211222).

The spelling of 12211100001 in words is "twelve billion, two hundred eleven million, one hundred thousand, one".

Divisors: 1 3 9 27 81 150754321 452262963 1356788889 4070366667 12211100001