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11010424441120 = 255132795154307
BaseRepresentation
bin1010000000111001000001…
…1100000000100100100000
31102222120211102002011012021
42200032100130000210200
52420343322124103440
635230041423311224
72214322403364046
oct240162034004440
942876742064167
1011010424441120
113565549612905
121299a88a4b514
1361b38102c800
142a0c9bc22396
1514161695784a
hexa0390700920

11010424441120 has 144 divisors (see below), whose sum is σ = 28523528127360. Its totient is φ = 4013926106112.

The previous prime is 11010424441063. The next prime is 11010424441127. The reversal of 11010424441120 is 2114442401011.

It is a super-2 number, since 2×110104244411202 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11010424441127) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 440994 + ... + 4713313.

It is an arithmetic number, because the mean of its divisors is an integer number (198080056440).

Almost surely, 211010424441120 is an apocalyptic number.

11010424441120 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 11010424441120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14261764063680).

11010424441120 is an abundant number, since it is smaller than the sum of its proper divisors (17513103686240).

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

11010424441120 is a wasteful number, since it uses less digits than its factorization.

11010424441120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5154427 (or 5154406 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 25.

Adding to 11010424441120 its reverse (2114442401011), we get a palindrome (13124866842131).

The spelling of 11010424441120 in words is "eleven trillion, ten billion, four hundred twenty-four million, four hundred forty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 65 79 80 104 130 158 160 169 208 260 316 338 395 416 520 632 676 790 845 1027 1040 1264 1352 1580 1690 2054 2080 2528 2704 3160 3380 4108 5135 5408 6320 6760 8216 10270 12640 13351 13520 16432 20540 26702 27040 32864 41080 53404 66755 82160 106808 133510 164320 213616 267020 427232 534040 1068080 2136160 5154307 10308614 20617228 25771535 41234456 51543070 67005991 82468912 103086140 134011982 164937824 206172280 268023964 335029955 407190253 412344560 536047928 670059910 814380506 824689120 871077883 1072095856 1340119820 1628761012 1742155766 2035951265 2144191712 2680239640 3257522024 3484311532 4071902530 4355389415 5293473289 5360479280 6515044048 6968623064 8143805060 8710778830 10586946578 10720958560 13030088096 13937246128 16287610120 17421557660 21173893156 26467366445 27874492256 32575220240 34843115320 42347786312 52934732890 65150440480 68815152757 69686230640 84695572624 105869465780 137630305514 139372461280 169391145248 211738931560 275260611028 344075763785 423477863120 550521222056 688151527570 846955726240 1101042444112 1376303055140 2202084888224 2752606110280 5505212220560 11010424441120