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1001112211 = 11412718191
BaseRepresentation
bin111011101010111…
…100001010010011
32120202202202210001
4323222330022103
54022241042321
6243201150431
733544212331
oct7352741223
92522682701
101001112211
11474113470
1223b32b417
1312c5394b8
1496d5ab51
155cd50c91
hex3babc293

1001112211 has 16 divisors (see below), whose sum is σ = 1123024896. Its totient is φ = 884520000.

The previous prime is 1001112209. The next prime is 1001112241. The reversal of 1001112211 is 1122111001.

It is a cyclic number.

It is not a de Polignac number, because 1001112211 - 21 = 1001112209 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1001112241) 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, 118126 + ... + 126316.

It is an arithmetic number, because the mean of its divisors is an integer number (70189056).

Almost surely, 21001112211 is an apocalyptic number.

1001112211 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1001112211 is a deficient number, since it is larger than the sum of its proper divisors (121912685).

1001112211 is a wasteful number, since it uses less digits than its factorization.

1001112211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8514.

The product of its (nonzero) digits is 4, while the sum is 10.

The square root of 1001112211 is about 31640.3573146701. The cubic root of 1001112211 is about 1000.3705996389.

Adding to 1001112211 its reverse (1122111001), we get a palindrome (2123223212).

It can be divided in two parts, 10011 and 12211, that added together give a palindrome (22222).

The spelling of 1001112211 in words is "one billion, one million, one hundred twelve thousand, two hundred eleven".

Divisors: 1 11 41 271 451 2981 8191 11111 90101 122221 335831 2219761 3694141 24417371 91010201 1001112211