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11224304124 = 22311210176537
BaseRepresentation
bin10100111010000010…
…10100100111111100
31001222020111201122120
422131001110213330
5140441410212444
65053435442540
7545102003505
oct123501244774
931866451576
1011224304124
11483a910900
122212bb6450
13109b541197
147869bbbac
1545a5e9b19
hex29d0549fc

11224304124 has 72 divisors (see below), whose sum is σ = 29072806224. Its totient is φ = 3367584000.

The previous prime is 11224304051. The next prime is 11224304167. The reversal of 11224304124 is 42140342211.

11224304124 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 11224304094 and 11224304103.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 108384 + ... + 184920.

Almost surely, 211224304124 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 11224304124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14536403112).

11224304124 is an abundant number, since it is smaller than the sum of its proper divisors (17848502100).

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

11224304124 is a wasteful number, since it uses less digits than its factorization.

11224304124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76667 (or 76654 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 11224304124 its reverse (42140342211), we get a palindrome (53364646335).

The spelling of 11224304124 in words is "eleven billion, two hundred twenty-four million, three hundred four thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 101 121 132 202 242 303 363 404 484 606 726 1111 1212 1452 2222 3333 4444 6666 12221 13332 24442 36663 48884 73326 76537 146652 153074 229611 306148 459222 841907 918444 1683814 2525721 3367628 5051442 7730237 9260977 10102884 15460474 18521954 23190711 27782931 30920948 37043908 46381422 55565862 85032607 92762844 111131724 170065214 255097821 340130428 510195642 935358677 1020391284 1870717354 2806076031 3741434708 5612152062 11224304124