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1124221120 = 265112771153
BaseRepresentation
bin100001100000010…
…0100000011000000
32220100102100110021
41003000210003000
54300300033440
6303315543224
736600502411
oct10300440300
92810370407
101124221120
11527658a70
122745bab14
1314bbb14c9
14a9445808
1568a6c84a
hex430240c0

1124221120 has 112 divisors (see below), whose sum is σ = 2933504928. Its totient is φ = 406978560.

The previous prime is 1124221103. The next prime is 1124221141. The reversal of 1124221120 is 211224211.

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 = 1124221094 and 1124221103.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 974464 + ... + 975616.

Almost surely, 21124221120 is an apocalyptic number.

1124221120 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 1124221120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1466752464).

1124221120 is an abundant number, since it is smaller than the sum of its proper divisors (1809283808).

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

1124221120 is a wasteful number, since it uses less digits than its factorization.

1124221120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1458 (or 1448 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

The square root of 1124221120 is about 33529.4067946333. The cubic root of 1124221120 is about 1039.8018360110.

Adding to 1124221120 its reverse (211224211), we get a palindrome (1335445331).

The spelling of 1124221120 in words is "one billion, one hundred twenty-four million, two hundred twenty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 160 176 220 277 320 352 440 554 704 880 1108 1153 1385 1760 2216 2306 2770 3047 3520 4432 4612 5540 5765 6094 8864 9224 11080 11530 12188 12683 15235 17728 18448 22160 23060 24376 25366 30470 36896 44320 46120 48752 50732 60940 63415 73792 88640 92240 97504 101464 121880 126830 184480 195008 202928 243760 253660 319381 368960 405856 487520 507320 638762 811712 975040 1014640 1277524 1596905 2029280 2555048 3193810 3513191 4058560 5110096 6387620 7026382 10220192 12775240 14052764 17565955 20440384 25550480 28105528 35131910 51100960 56211056 70263820 102201920 112422112 140527640 224844224 281055280 562110560 1124221120