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2221011331 = 71128844303
BaseRepresentation
bin1000010001100001…
…1111000110000011
312201210020001202221
42010120133012003
514022034330311
61004215551511
7106016166460
oct20430370603
95653201687
102221011331
11a3a780760
1251b98b597
132951aa1b6
14170d8a667
15ceebc671
hex8461f183

2221011331 has 8 divisors (see below), whose sum is σ = 2769053184. Its totient is φ = 1730658120.

The previous prime is 2221011329. The next prime is 2221011343. The reversal of 2221011331 is 1331101222.

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 2221011331 - 21 = 2221011329 is a prime.

It is a super-3 number, since 3×22210113313 (a number of 29 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2221011301) 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 7 ways as a sum of consecutive naturals, for example, 14422075 + ... + 14422228.

It is an arithmetic number, because the mean of its divisors is an integer number (346131648).

Almost surely, 22221011331 is an apocalyptic number.

2221011331 is a deficient number, since it is larger than the sum of its proper divisors (548041853).

2221011331 is a wasteful number, since it uses less digits than its factorization.

2221011331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28844321.

The product of its (nonzero) digits is 72, while the sum is 16.

The square root of 2221011331 is about 47127.6068881075. The cubic root of 2221011331 is about 1304.7188133819.

Adding to 2221011331 its reverse (1331101222), we get a palindrome (3552112553).

The spelling of 2221011331 in words is "two billion, two hundred twenty-one million, eleven thousand, three hundred thirty-one".

Divisors: 1 7 11 77 28844303 201910121 317287333 2221011331