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10224042424112 = 2411127541845491
BaseRepresentation
bin1001010011000111100001…
…1010101011011100110000
31100012102001002120121222002
42110301320122223130300
52320002314330032422
633424505451433132
72103443205464246
oct224617032533460
940172032517862
1010224042424112
113291aa0454310
1211915a31557a8
1359217a4a8a4a
14274bbc330796
1512ae3de88692
hex94c786ab730

10224042424112 has 80 divisors (see below), whose sum is σ = 21820349313024. Its totient is φ = 4602171168000.

The previous prime is 10224042424039. The next prime is 10224042424117. The reversal of 10224042424112 is 21142424042201.

It is not an unprimeable number, because it can be changed into a prime (10224042424117) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11669687 + ... + 12515177.

Almost surely, 210224042424112 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 10224042424112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10910174656512).

10224042424112 is an abundant number, since it is smaller than the sum of its proper divisors (11596306888912).

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

10224042424112 is a wasteful number, since it uses less digits than its factorization.

10224042424112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 846178 (or 846172 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 29.

Adding to 10224042424112 its reverse (21142424042201), we get a palindrome (31366466466313).

The spelling of 10224042424112 in words is "ten trillion, two hundred twenty-four billion, forty-two million, four hundred twenty-four thousand, one hundred twelve".

Divisors: 1 2 4 8 11 16 22 44 88 127 176 254 508 541 1016 1082 1397 2032 2164 2794 4328 5588 5951 8656 11176 11902 22352 23804 47608 68707 95216 137414 274828 549656 755777 845491 1099312 1511554 1690982 3023108 3381964 6046216 6763928 9300401 12092432 13527856 18600802 37201604 74403208 107377357 148806416 214754714 429509428 457410631 859018856 914821262 1181150927 1718037712 1829642524 2362301854 3659285048 4724603708 5031516941 7318570096 9449207416 10063033882 18898414832 20126067764 40252135528 58091150137 80504271056 116182300274 232364600548 464729201096 639002651507 929458402192 1278005303014 2556010606028 5112021212056 10224042424112