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11010322223120 = 24511471811470757
BaseRepresentation
bin1010000000111000101001…
…0110000101000000010000
31102222120120021201221110102
42200032022112011000100
52420343114442114440
635230023332351532
72214320022503303
oct240161226050020
942876507657412
1011010322223120
1135654a6946a20
121299a5a7755a8
1361b365ac059c
142a0c8c414b3a
1514160c9b5b15
hexa038a585010

11010322223120 has 160 divisors (see below), whose sum is σ = 28677945494016. Its totient is φ = 3896915097600.

The previous prime is 11010322223113. The next prime is 11010322223143. The reversal of 11010322223120 is 2132222301011.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 11010322223092 and 11010322223101.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6750782 + ... + 8221538.

Almost surely, 211010322223120 is an apocalyptic number.

11010322223120 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 11010322223120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14338972747008).

11010322223120 is an abundant number, since it is smaller than the sum of its proper divisors (17667623270896).

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

11010322223120 is a wasteful number, since it uses less digits than its factorization.

11010322223120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1471009 (or 1471003 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 11010322223120 its reverse (2132222301011), we get a palindrome (13142544524131).

The spelling of 11010322223120 in words is "eleven trillion, ten billion, three hundred twenty-two million, two hundred twenty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 47 55 80 88 94 110 176 181 188 220 235 362 376 440 470 517 724 752 880 905 940 1034 1448 1810 1880 1991 2068 2585 2896 3620 3760 3982 4136 5170 7240 7964 8272 8507 9955 10340 14480 15928 17014 19910 20680 31856 34028 39820 41360 42535 68056 79640 85070 93577 136112 159280 170140 187154 340280 374308 467885 680560 748616 935770 1470757 1497232 1871540 2941514 3743080 5883028 7353785 7486160 11766056 14707570 16178327 23532112 29415140 32356654 58830280 64713308 69125579 80891635 117660560 129426616 138251158 161783270 258853232 266207017 276502316 323566540 345627895 532414034 553004632 647133080 691255790 760381369 1064828068 1106009264 1294266160 1331035085 1382511580 1520762738 2129656136 2662070170 2765023160 2928277187 3041525476 3801906845 4259312272 5324140340 5530046320 5856554374 6083050952 7603813690 10648280680 11713108748 12166101904 12511729799 14641385935 15207627380 21296561360 23426217496 25023459598 29282771870 30415254760 46852434992 50046919196 58565543740 60830509520 62558648995 100093838392 117131087480 125117297990 137629027789 200187676784 234262174960 250234595980 275258055578 500469191960 550516111156 688145138945 1000938383920 1101032222312 1376290277890 2202064444624 2752580555780 5505161111560 11010322223120