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13220222333000 = 2353431061289771
BaseRepresentation
bin1100000001100001001010…
…1001111111000001001000
31201210211201000200011120012
43000120102221333001020
53213100003404124000
644041141501251052
72533062301503434
oct300302251770110
951724630604505
1013220222333000
114237734946aa1
121596201863a88
1374b87a7587b7
14339c0db459c4
1517dd4d143735
hexc0612a7f048

13220222333000 has 128 divisors (see below), whose sum is σ = 31684690477440. Its totient is φ = 5160224160000.

The previous prime is 13220222332997. The next prime is 13220222333033. The reversal of 13220222333000 is 33322202231.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 45478115 + ... + 45767885.

It is an arithmetic number, because the mean of its divisors is an integer number (247536644355).

Almost surely, 213220222333000 is an apocalyptic number.

13220222333000 is a gapful number since it is divisible by the number (10) 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 13220222333000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15842345238720).

13220222333000 is an abundant number, since it is smaller than the sum of its proper divisors (18464468144440).

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

13220222333000 is a wasteful number, since it uses less digits than its factorization.

13220222333000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290896 (or 290882 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 23.

Adding to 13220222333000 its reverse (33322202231), we get a palindrome (13253544535231).

The spelling of 13220222333000 in words is "thirteen trillion, two hundred twenty billion, two hundred twenty-two million, three hundred thirty-three thousand".

Divisors: 1 2 4 5 8 10 20 25 40 43 50 86 100 125 172 200 215 250 344 430 500 860 1000 1061 1075 1720 2122 2150 4244 4300 5305 5375 8488 8600 10610 10750 21220 21500 26525 42440 43000 45623 53050 91246 106100 132625 182492 212200 228115 265250 289771 364984 456230 530500 579542 912460 1061000 1140575 1159084 1448855 1824920 2281150 2318168 2897710 4562300 5702875 5795420 7244275 9124600 11405750 11590840 12460153 14488550 22811500 24920306 28977100 36221375 45623000 49840612 57954200 62300765 72442750 99681224 124601530 144885500 249203060 289771000 307447031 311503825 498406120 614894062 623007650 1229788124 1246015300 1537235155 1557519125 2459576248 2492030600 3074470310 3115038250 6148940620 6230076500 7686175775 12297881240 12460153000 13220222333 15372351550 26440444666 30744703100 38430878875 52880889332 61489406200 66101111665 76861757750 105761778664 132202223330 153723515500 264404446660 307447031000 330505558325 528808893320 661011116650 1322022233300 1652527791625 2644044466600 3305055583250 6610111166500 13220222333000