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11011021220320 = 255117188116367
BaseRepresentation
bin1010000000111011010000…
…0000100010100111100000
31102222122101000000200100121
42200032310000202213200
52420401032413022240
635230220542330024
72214343241050102
oct240166400424740
942878330020317
1011011021220320
113565825470960
12129a014889914
1361b44786b3b4
142a0d171ab572
1514164e03b04a
hexa03b40229e0

11011021220320 has 96 divisors (see below), whose sum is σ = 28778100857856. Its totient is φ = 3947613196800.

The previous prime is 11011021220299. The next prime is 11011021220321. The reversal of 11011021220320 is 2302212011011.

It is a super-3 number, since 3×110110212203203 (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 11011021220294 and 11011021220303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11011021220321) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43933224 + ... + 44183143.

It is an arithmetic number, because the mean of its divisors is an integer number (299771883936).

Almost surely, 211011021220320 is an apocalyptic number.

11011021220320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11011021220320 is an abundant number, since it is smaller than the sum of its proper divisors (17767079637536).

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

11011021220320 is a wasteful number, since it uses less digits than its factorization.

11011021220320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88116464 (or 88116456 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 11011021220320 its reverse (2302212011011), we get a palindrome (13313233231331).

The spelling of 11011021220320 in words is "eleven trillion, eleven billion, twenty-one million, two hundred twenty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 71 80 88 110 142 160 176 220 284 352 355 440 568 710 781 880 1136 1420 1562 1760 2272 2840 3124 3905 5680 6248 7810 11360 12496 15620 24992 31240 62480 124960 88116367 176232734 352465468 440581835 704930936 881163670 969280037 1409861872 1762327340 1938560074 2819723744 3524654680 3877120148 4846400185 6256262057 7049309360 7754240296 9692800370 12512524114 14098618720 15508480592 19385600740 25025048228 31016961184 31281310285 38771201480 50050096456 62562620570 68818882627 77542402960 100100192912 125125241140 137637765254 155084805920 200200385824 250250482280 275275530508 344094413135 500500964560 550551061016 688188826270 1001001929120 1101102122032 1376377652540 2202204244064 2752755305080 5505510610160 11011021220320