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11054133345420 = 223251117332271073
BaseRepresentation
bin1010000011011011110110…
…1100001111110010001100
31110010202122120002112220200
42200312331230033302030
52422102331114023140
635302110533013500
72220430505055654
oct240667554176214
943122576075820
1011054133345420
113582039102610
1212a6446a84290
136225286028a9
142a3046c0b364
15142823d64030
hexa0dbdb0fc8c

11054133345420 has 144 divisors (see below), whose sum is σ = 36790573371552. Its totient is φ = 2664299704320.

The previous prime is 11054133345413. The next prime is 11054133345569. The reversal of 11054133345420 is 2454333145011.

11054133345420 is a `hidden beast` number, since 1 + 1 + 0 + 54 + 1 + 33 + 34 + 542 + 0 = 666.

It is a super-2 number, since 2×110541333454202 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15792997 + ... + 16478076.

It is an arithmetic number, because the mean of its divisors is an integer number (255490092858).

Almost surely, 211054133345420 is an apocalyptic number.

11054133345420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11054133345420 is an abundant number, since it is smaller than the sum of its proper divisors (25736440026132).

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

11054133345420 is a wasteful number, since it uses less digits than its factorization.

11054133345420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32271272 (or 32271267 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 11054133345420 in words is "eleven trillion, fifty-four billion, one hundred thirty-three million, three hundred forty-five thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 173 180 198 220 330 346 396 495 519 660 692 865 990 1038 1557 1730 1903 1980 2076 2595 3114 3460 3806 5190 5709 6228 7612 7785 9515 10380 11418 15570 17127 19030 22836 28545 31140 34254 38060 57090 68508 85635 114180 171270 342540 32271073 64542146 96813219 129084292 161355365 193626438 290439657 322710730 354981803 387252876 484066095 580879314 645421460 709963606 968132190 1064945409 1161758628 1419927212 1452198285 1774909015 1936264380 2129890818 2904396570 3194836227 3549818030 4259781636 5324727045 5582895629 5808793140 6389672454 7099636060 10649454090 11165791258 12779344908 15974181135 16748686887 21298908180 22331582516 27914478145 31948362270 33497373774 50246060661 55828956290 61411851919 63896724540 66994747548 83743434435 100492121322 111657912580 122823703838 167486868870 184235555757 200984242644 245647407676 251230303305 307059259595 334973737740 368471111514 502460606610 552706667271 614118519190 736942223028 921177778785 1004921213220 1105413334542 1228237038380 1842355557570 2210826669084 2763533336355 3684711115140 5527066672710 11054133345420