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11124403424 = 2517376773113
BaseRepresentation
bin10100101110001000…
…01110110011100000
31001201021112020122122
422113010032303200
5140240321402144
65035510323412
7542446604021
oct122704166340
931637466578
1011124403424
114799487a42
1221a5659568
131083933944
14777614c48
154519647ee
hex29710ece0

11124403424 has 192 divisors, whose sum is σ = 24719639616. Its totient is φ = 4904976384.

The previous prime is 11124403403. The next prime is 11124403427. The reversal of 11124403424 is 42430442111.

It is a junction number, because it is equal to n+sod(n) for n = 11124403393 and 11124403402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11124403427) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 98445992 + ... + 98446104.

It is an arithmetic number, because the mean of its divisors is an integer number (128748123).

Almost surely, 211124403424 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 11124403424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12359819808).

11124403424 is an abundant number, since it is smaller than the sum of its proper divisors (13595236192).

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

11124403424 is a wasteful number, since it uses less digits than its factorization.

11124403424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 317 (or 309 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 26.

Adding to 11124403424 its reverse (42430442111), we get a palindrome (53554845535).

The spelling of 11124403424 in words is "eleven billion, one hundred twenty-four million, four hundred three thousand, four hundred twenty-four".