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11124220410 = 2325123602449
BaseRepresentation
bin10100101110000111…
…00010000111111010
31001201021011221121100
422113003202013322
5140240300023120
65035502352230
7542445212322
oct122703420772
931637157540
1011124220410
114799372496
1221a558b676
13108389b554
147775a8282
1545192a490
hex2970e21fa

11124220410 has 24 divisors (see below), whose sum is σ = 28922973300. Its totient is φ = 2966458752.

The previous prime is 11124220369. The next prime is 11124220433. The reversal of 11124220410 is 1402242111.

11124220410 is a `hidden beast` number, since 1 + 11 + 24 + 220 + 410 = 666.

11124220410 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 10756386369 + 367834041 = 103713^2 + 19179^2 .

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

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 61801135 + ... + 61801314.

Almost surely, 211124220410 is an apocalyptic number.

11124220410 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

11124220410 is an abundant number, since it is smaller than the sum of its proper divisors (17798752890).

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

11124220410 is a wasteful number, since it uses less digits than its factorization.

11124220410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123602462 (or 123602459 counting only the distinct ones).

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

Adding to 11124220410 its reverse (1402242111), we get a palindrome (12526462521).

The spelling of 11124220410 in words is "eleven billion, one hundred twenty-four million, two hundred twenty thousand, four hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 123602449 247204898 370807347 618012245 741614694 1112422041 1236024490 1854036735 2224844082 3708073470 5562110205 11124220410