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11221140441 = 3719137320483
BaseRepresentation
bin10100111001101010…
…10000001111011001
31001222000112222220010
422130311100033121
5140440102443231
65053243552133
7545033056110
oct123465201731
931860488803
1011221140441
11483904a995
122211b2b649
13109a9a4194
147863d6c77
1545a1c2546
hex29cd503d9

11221140441 has 32 divisors (see below), whose sum is σ = 18012810240. Its totient is φ = 6069881664.

The previous prime is 11221140421. The next prime is 11221140461. The reversal of 11221140441 is 14404112211.

11221140441 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (11221140421) and next prime (11221140461).

It is not a de Polignac number, because 11221140441 - 27 = 11221140313 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (11221140421) 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 31 ways as a sum of consecutive naturals, for example, 537586 + ... + 558068.

It is an arithmetic number, because the mean of its divisors is an integer number (562900320).

Almost surely, 211221140441 is an apocalyptic number.

It is an amenable number.

11221140441 is a deficient number, since it is larger than the sum of its proper divisors (6791669799).

11221140441 is a wasteful number, since it uses less digits than its factorization.

11221140441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21885.

The product of its (nonzero) digits is 256, while the sum is 21.

Adding to 11221140441 its reverse (14404112211), we get a palindrome (25625252652).

The spelling of 11221140441 in words is "eleven billion, two hundred twenty-one million, one hundred forty thousand, four hundred forty-one".

Divisors: 1 3 7 19 21 57 133 399 1373 4119 9611 20483 26087 28833 61449 78261 143381 182609 389177 430143 547827 1167531 2724239 8172717 28123159 84369477 196862113 534340021 590586339 1603020063 3740380147 11221140441