Search a number
-
+
10212034043224 = 2313533581517367
BaseRepresentation
bin1001010010011010110010…
…1010010101110101011000
31100011021001012200200012101
42110212230222111311120
52314303221203340344
633415202122253144
72102536503103366
oct224465452256530
940137035620171
1010212034043224
113287998a98a92
12118b1b16571b4
13590cb569b620
1427439d570636
1512a989b0e9d4
hex949aca95d58

10212034043224 has 64 divisors (see below), whose sum is σ = 21015426075840. Its totient is φ = 4623017018880.

The previous prime is 10212034043213. The next prime is 10212034043273. The reversal of 10212034043224 is 42234043021201.

It is a junction number, because it is equal to n+sod(n) for n = 10212034043192 and 10212034043201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19479789 + ... + 19997155.

It is an arithmetic number, because the mean of its divisors is an integer number (328366032435).

Almost surely, 210212034043224 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 10212034043224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10507713037920).

10212034043224 is an abundant number, since it is smaller than the sum of its proper divisors (10803392032616).

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

10212034043224 is a wasteful number, since it uses less digits than its factorization.

10212034043224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 521020 (or 521016 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 10212034043224 its reverse (42234043021201), we get a palindrome (52446077064425).

The spelling of 10212034043224 in words is "ten trillion, two hundred twelve billion, thirty-four million, forty-three thousand, two hundred twenty-four".

Divisors: 1 2 4 8 13 26 52 53 104 106 212 424 689 1378 2756 3581 5512 7162 14324 28648 46553 93106 186212 189793 372424 379586 517367 759172 1034734 1518344 2069468 2467309 4138936 4934618 6725771 9869236 13451542 19738472 26903084 27420451 53806168 54840902 109681804 219363608 356465863 712931726 1425863452 1852691227 2851726904 3705382454 7410764908 14821529816 24084985951 48169971902 96339943804 98192635031 192679887608 196385270062 392770540124 785541080248 1276504255403 2553008510806 5106017021612 10212034043224