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11300233132230 = 2357237132952011
BaseRepresentation
bin1010010001110000101001…
…1000011011100011000110
31111000021212200021001100120
42210130022120123203012
52440120334140212410
640011131101322410
72244262211535540
oct244341230334306
944007780231316
1011300233132230
113667447008979
121326089266406
1363c7b863a813
142b0d11642690
15148e29569570
hexa470a61b8c6

11300233132230 has 128 divisors (see below), whose sum is σ = 32798060199936. Its totient is φ = 2435812579200.

The previous prime is 11300233132213. The next prime is 11300233132267. The reversal of 11300233132230 is 3223133200311.

It is a self number, because there is not a number n which added to its sum of digits gives 11300233132230.

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 63 ways as a sum of consecutive naturals, for example, 16133076 + ... + 16818935.

It is an arithmetic number, because the mean of its divisors is an integer number (256234845312).

Almost surely, 211300233132230 is an apocalyptic number.

11300233132230 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

11300233132230 is an abundant number, since it is smaller than the sum of its proper divisors (21497827067706).

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

11300233132230 is a wasteful number, since it uses less digits than its factorization.

11300233132230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32952122.

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 11300233132230 its reverse (3223133200311), we get a palindrome (14523366332541).

The spelling of 11300233132230 in words is "eleven trillion, three hundred billion, two hundred thirty-three million, one hundred thirty-two thousand, two hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 23 30 35 42 46 69 70 71 105 115 138 142 161 210 213 230 322 345 355 426 483 497 690 710 805 966 994 1065 1491 1610 1633 2130 2415 2485 2982 3266 4830 4899 4970 7455 8165 9798 11431 14910 16330 22862 24495 34293 48990 57155 68586 114310 171465 342930 32952011 65904022 98856033 164760055 197712066 230664077 329520110 461328154 494280165 691992231 757896253 988560330 1153320385 1383984462 1515792506 2273688759 2306640770 2339592781 3459961155 3789481265 4547377518 4679185562 5305273771 6919922310 7018778343 7578962530 10610547542 11368443795 11697963905 14037556686 15915821313 16377149467 22736887590 23395927810 26526368855 31831642626 32754298934 35093891715 49131448401 53052737710 53810633963 70187783430 79579106565 81885747335 98262896802 107621267926 159158213130 161431901889 163771494670 245657242005 269053169815 322863803778 376674437741 491314484010 538106339630 753348875482 807159509445 1130023313223 1614319018890 1883372188705 2260046626446 3766744377410 5650116566115 11300233132230