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11221144002 = 23475619161
BaseRepresentation
bin10100111001101010…
…10001000111000010
31001222000120011210000
422130311101013002
5140440103102002
65053244020430
7545033102355
oct123465210702
931860504700
1011221144002
114839052632
122211b31716
13109a9a59a3
147863d829c
1545a1c361c
hex29cd511c2

11221144002 has 40 divisors (see below), whose sum is σ = 25149744972. Its totient is φ = 3739478400.

The previous prime is 11221144001. The next prime is 11221144019. The reversal of 11221144002 is 20044112211.

11221144002 is a `hidden beast` number, since 1 + 1 + 221 + 1 + 440 + 0 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 10673162721 + 547981281 = 103311^2 + 23409^2 .

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 (11221144001) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1220302 + ... + 1229462.

Almost surely, 211221144002 is an apocalyptic number.

11221144002 is an abundant number, since it is smaller than the sum of its proper divisors (13928600970).

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

11221144002 is an equidigital number, since it uses as much as digits as its factorization.

11221144002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16736 (or 16727 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 11221144002 its reverse (20044112211), we get a palindrome (31265256213).

The spelling of 11221144002 in words is "eleven billion, two hundred twenty-one million, one hundred forty-four thousand, two".

Divisors: 1 2 3 6 9 18 27 54 81 162 7561 9161 15122 18322 22683 27483 45366 54966 68049 82449 136098 164898 204147 247347 408294 494694 612441 742041 1224882 1484082 69266321 138532642 207798963 415597926 623396889 1246793778 1870190667 3740381334 5610572001 11221144002