Search a number
-
+
221112102012012 = 223312401165094289
BaseRepresentation
bin110010010001100110101100…
…010010111100010001101100
31001222220002222120020020111000
4302101212230102330101230
5212440200041103341022
62102133255233200300
764400552004433011
oct6221465422742154
91058802876206430
10221112102012012
11644a91302290a2
122097100b700090
13964ba2167bc23
143c85c5071d708
151a869770976ac
hexc919ac4bc46c

221112102012012 has 48 divisors (see below), whose sum is σ = 573299827682400. Its totient is φ = 73698090163200.

The previous prime is 221112102011993. The next prime is 221112102012013. The reversal of 221112102012012 is 210210201211122.

221112102012012 is a `hidden beast` number, since 221 + 1 + 1 + 210 + 201 + 20 + 12 = 666.

It is a super-2 number, since 2×2211121020120122 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (221112102012013) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 81207837 + ... + 83886452.

It is an arithmetic number, because the mean of its divisors is an integer number (11943746410050).

Almost surely, 2221112102012012 is an apocalyptic number.

It is an amenable number.

221112102012012 is an abundant number, since it is smaller than the sum of its proper divisors (352187725670388).

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

221112102012012 is a wasteful number, since it uses less digits than its factorization.

221112102012012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165106703 (or 165106695 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 221112102012012 its reverse (210210201211122), we get a palindrome (431322303223134).

The spelling of 221112102012012 in words is "two hundred twenty-one trillion, one hundred twelve billion, one hundred two million, twelve thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 12401 24802 37203 49604 74406 111609 148812 223218 334827 446436 669654 1339308 165094289 330188578 495282867 660377156 990565734 1485848601 1981131468 2971697202 4457545803 5943394404 8915091606 17830183212 2047334277889 4094668555778 6142002833667 8189337111556 12284005667334 18426008501001 24568011334668 36852017002002 55278025503003 73704034004004 110556051006006 221112102012012