Search a number
-
+
11303332224112 = 2417225133129423
BaseRepresentation
bin1010010001111100001100…
…0110100001110001110000
31111000120212122202020012101
42210133003012201301300
52440143211022132422
640012402405510144
72244432052432045
oct244370306416160
944016778666171
1011303332224112
1136687973aa535
1213267b3112354
1363cb907083b6
142b11270811cc
1514905b683c27
hexa47c31a1c70

11303332224112 has 120 divisors (see below), whose sum is σ = 23428279994112. Its totient is φ = 5281837440000.

The previous prime is 11303332224103. The next prime is 11303332224143. The reversal of 11303332224112 is 21142223330311.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 384151833 + ... + 384181255.

Almost surely, 211303332224112 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 11303332224112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11714139997056).

11303332224112 is an abundant number, since it is smaller than the sum of its proper divisors (12124947770000).

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

11303332224112 is a wasteful number, since it uses less digits than its factorization.

11303332224112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30047 (or 30024 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 28.

Adding to 11303332224112 its reverse (21142223330311), we get a palindrome (32445555554423).

The spelling of 11303332224112 in words is "eleven trillion, three hundred three billion, three hundred thirty-two million, two hundred twenty-four thousand, one hundred twelve".

Divisors: 1 2 4 8 16 17 34 68 136 251 272 289 331 502 578 662 1004 1156 1324 2008 2312 2648 4016 4267 4624 5296 5627 8534 11254 17068 22508 29423 34136 45016 58846 68272 72539 83081 90032 95659 117692 145078 166162 191318 235384 290156 332324 382636 470768 500191 580312 664648 765272 1000382 1160624 1329296 1412377 1530544 2000764 2824754 4001528 5649508 7385173 8003056 8503247 9739013 11299016 14770346 17006494 19478026 22598032 24010409 29540692 34012988 38956052 48020818 59081384 68025976 77912104 96041636 118162768 125547941 136051952 155824208 165563221 192083272 251095882 331126442 384166544 502191764 662252884 1004383528 1324505768 2008767056 2134314997 2444492263 2649011536 2814574757 4268629994 4888984526 5629149514 8537259988 9777969052 11258299028 17074519976 19555938104 22516598056 34149039952 39111876208 41556368471 45033196112 83112736942 166225473884 332450947768 664901895536 706458264007 1412916528014 2825833056028 5651666112056 11303332224112