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11230213323294 = 23272291798924407
BaseRepresentation
bin1010001101101011110011…
…1000000011101000011110
31110202121010212122012201200
42203122330320003220132
52432443434102321134
635515031102020330
72236233104144100
oct243327470035036
943677125565650
1011230213323294
11363a785717089
1213145a78776a6
1363600a078a04
142ab78c151570
151471cc344499
hexa36bce03a1e

11230213323294 has 144 divisors (see below), whose sum is σ = 29283573664800. Its totient is φ = 3097690743168.

The previous prime is 11230213323283. The next prime is 11230213323317. The reversal of 11230213323294 is 49232331203211.

11230213323294 is a `hidden beast` number, since 1 + 1 + 2 + 30 + 2 + 1 + 332 + 3 + 294 = 666.

11230213323294 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×112302133232942 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 460110439 + ... + 460134845.

It is an arithmetic number, because the mean of its divisors is an integer number (203358150450).

Almost surely, 211230213323294 is an apocalyptic number.

11230213323294 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11230213323294, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14641786832400).

11230213323294 is an abundant number, since it is smaller than the sum of its proper divisors (18053360341506).

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

11230213323294 is a wasteful number, since it uses less digits than its factorization.

11230213323294 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42447 (or 42437 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The spelling of 11230213323294 in words is "eleven trillion, two hundred thirty billion, two hundred thirteen million, three hundred twenty-three thousand, two hundred ninety-four".

Divisors: 1 2 3 6 7 9 14 18 21 29 42 49 58 63 87 98 126 147 174 203 261 294 406 441 522 609 882 1218 1421 1827 2842 3654 4263 8526 12789 17989 24407 25578 35978 48814 53967 73221 107934 125923 146442 161901 170849 219663 251846 323802 341698 377769 439326 512547 521681 707803 755538 881461 1025094 1043362 1133307 1195943 1415606 1537641 1565043 1762922 2123409 2266614 2391886 2644383 3075282 3130086 3587829 3651767 4246818 4695129 4954621 5288766 6370227 7175658 7303534 7933149 9390258 9909242 10763487 10955301 12740454 14863863 15866298 21526974 21910602 25562369 29727726 32865903 34682347 44591589 51124738 65731806 69364694 76687107 89183178 104047041 153374214 208094082 230061321 312141123 439057523 460122642 624282246 878115046 1317172569 2634345138 3073402661 3951517707 6146805322 7903035414 9220207983 12732668167 18440415966 21513818627 25465336334 27660623949 38198004501 43027637254 55321247898 64541455881 76396009002 89128677169 114594013503 129082911762 178257354338 193624367643 229188027006 267386031507 387248735286 534772063014 623900740183 802158094521 1247801480366 1604316189042 1871702220549 3743404441098 5615106661647 11230213323294