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2112221441 = 116119116481
BaseRepresentation
bin111110111100101…
…1111000100000001
312110012111222002202
41331321133010001
513311212041231
6545332122545
7103225405001
oct17571370401
95405458082
102112221441
11994326260
124ab466455
132787a9895
1416074c001
15c567d5cb
hex7de5f101

2112221441 has 16 divisors (see below), whose sum is σ = 2354420736. Its totient is φ = 1878720000.

The previous prime is 2112221437. The next prime is 2112221443. The reversal of 2112221441 is 1441222112.

It is a cyclic number.

It is not a de Polignac number, because 2112221441 - 22 = 2112221437 is a prime.

It is a super-2 number, since 2×21122214412 = 8922958831640232962, which contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (2112221443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 119921 + ... + 136401.

It is an arithmetic number, because the mean of its divisors is an integer number (147151296).

Almost surely, 22112221441 is an apocalyptic number.

It is an amenable number.

2112221441 is a deficient number, since it is larger than the sum of its proper divisors (242199295).

2112221441 is a wasteful number, since it uses less digits than its factorization.

2112221441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16744.

The product of its digits is 256, while the sum is 20.

The square root of 2112221441 is about 45958.9103547941. The cubic root of 2112221441 is about 1283.0585713157.

Adding to 2112221441 its reverse (1441222112), we get a palindrome (3553443553).

The spelling of 2112221441 in words is "two billion, one hundred twelve million, two hundred twenty-one thousand, four hundred forty-one".

Divisors: 1 11 61 191 671 2101 11651 16481 128161 181291 1005341 3147871 11058751 34626581 192020131 2112221441