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201100012224 = 2637325395651
BaseRepresentation
bin1011101101001001111…
…1101010101011000000
3201020002000011002120220
42323102133222223000
511243323100342344
6232214543103040
720346305620506
oct2732237525300
9636060132526
10201100012224
1178316794711
1232b83ba1a80
1315c6b1a5597
149a3a224676
15536ed0dc19
hex2ed27eaac0

201100012224 has 112 divisors (see below), whose sum is σ = 539673759360. Its totient is φ = 66077337600.

The previous prime is 201100012219. The next prime is 201100012247. The reversal of 201100012224 is 422210001102.

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, 35583799 + ... + 35589449.

Almost surely, 2201100012224 is an apocalyptic number.

201100012224 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201100012224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269836879680).

201100012224 is an abundant number, since it is smaller than the sum of its proper divisors (338573747136).

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

201100012224 is a wasteful number, since it uses less digits than its factorization.

201100012224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8278 (or 8268 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 201100012224 its reverse (422210001102), we get a palindrome (623310013326).

The spelling of 201100012224 in words is "two hundred one billion, one hundred million, twelve thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 73 96 146 192 219 292 438 584 876 1168 1752 2336 2539 3504 4672 5078 5651 7008 7617 10156 11302 14016 15234 16953 20312 22604 30468 33906 40624 45208 60936 67812 81248 90416 121872 135624 162496 180832 185347 243744 271248 361664 370694 412523 487488 542496 556041 741388 825046 1084992 1112082 1237569 1482776 1650092 2224164 2475138 2965552 3300184 4448328 4950276 5931104 6600368 8896656 9900552 11862208 13200736 14347889 17793312 19801104 26401472 28695778 35586624 39602208 43043667 57391556 79204416 86087334 114783112 172174668 229566224 344349336 459132448 688698672 918264896 1047395897 1377397344 2094791794 2754794688 3142187691 4189583588 6284375382 8379167176 12568750764 16758334352 25137501528 33516668704 50275003056 67033337408 100550006112 201100012224