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1211003424 = 25327357601
BaseRepresentation
bin100100000101110…
…0111001000100000
310010101201100101200
41020023213020200
54440004102144
6320100001200
742003234141
oct11013471040
93111640350
101211003424
11571641884
12299690200
13163b77997
14b6b95ac8
15714b0c69
hex482e7220

1211003424 has 72 divisors (see below), whose sum is σ = 3491026812. Its totient is φ = 398131200.

The previous prime is 1211003419. The next prime is 1211003441. The reversal of 1211003424 is 4243001121.

It can be written as a sum of positive squares in 2 ways, for example, as 1007427600 + 203575824 = 31740^2 + 14268^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1211003397 and 1211003406.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7777 + ... + 49824.

Almost surely, 21211003424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1211003424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1745513406).

1211003424 is an abundant number, since it is smaller than the sum of its proper divisors (2280023388).

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

1211003424 is a wasteful number, since it uses less digits than its factorization.

1211003424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57690 (or 57679 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 1211003424 is about 34799.4744787906. The cubic root of 1211003424 is about 1065.8967148456.

Adding to 1211003424 its reverse (4243001121), we get a palindrome (5454004545).

The spelling of 1211003424 in words is "one billion, two hundred eleven million, three thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 73 96 144 146 219 288 292 438 584 657 876 1168 1314 1752 2336 2628 3504 5256 7008 10512 21024 57601 115202 172803 230404 345606 460808 518409 691212 921616 1036818 1382424 1843232 2073636 2764848 4147272 4204873 5529696 8294544 8409746 12614619 16589088 16819492 25229238 33638984 37843857 50458476 67277968 75687714 100916952 134555936 151375428 201833904 302750856 403667808 605501712 1211003424