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11221011120 = 24351110142083
BaseRepresentation
bin10100111001101001…
…10000101010110000
31001222000022102111110
422130310300222300
5140440034323440
65053241113320
7545032010064
oct123464605260
931860272443
1011221011120
114838a71810
122211a88840
13109a95a367
147863a1aa4
1545a199080
hex29cd30ab0

11221011120 has 160 divisors (see below), whose sum is σ = 38324047104. Its totient is φ = 2693248000.

The previous prime is 11221011103. The next prime is 11221011163. The reversal of 11221011120 is 2111012211.

It is a super-2 number, since 2×112210111202 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 11221011096 and 11221011105.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 245599 + ... + 287681.

Almost surely, 211221011120 is an apocalyptic number.

11221011120 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 11221011120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19162023552).

11221011120 is an abundant number, since it is smaller than the sum of its proper divisors (27103035984).

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

11221011120 is a wasteful number, since it uses less digits than its factorization.

11221011120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42211 (or 42205 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 11221011120 its reverse (2111012211), we get a palindrome (13332023331).

The spelling of 11221011120 in words is "eleven billion, two hundred twenty-one million, eleven thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 101 110 120 132 165 176 202 220 240 264 303 330 404 440 505 528 606 660 808 880 1010 1111 1212 1320 1515 1616 2020 2222 2424 2640 3030 3333 4040 4444 4848 5555 6060 6666 8080 8888 11110 12120 13332 16665 17776 22220 24240 26664 33330 42083 44440 53328 66660 84166 88880 126249 133320 168332 210415 252498 266640 336664 420830 462913 504996 631245 673328 841660 925826 1009992 1262490 1388739 1683320 1851652 2019984 2314565 2524980 2777478 3366640 3703304 4250383 4629130 5049960 5554956 6943695 7406608 8500766 9258260 10099920 11109912 12751149 13887390 17001532 18516520 21251915 22219824 25502298 27774780 34003064 37033040 42503830 46754213 51004596 55549560 63755745 68006128 85007660 93508426 102009192 111099120 127511490 140262639 170015320 187016852 204018384 233771065 255022980 280525278 340030640 374033704 467542130 510045960 561050556 701313195 748067408 935084260 1020091920 1122101112 1402626390 1870168520 2244202224 2805252780 3740337040 5610505560 11221011120