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1132221120 = 26357331609
BaseRepresentation
bin100001101111100…
…0101001011000000
32220220110210101120
41003133011023000
54304322033440
6304203232240
740025502132
oct10337051300
92826423346
101132221120
11531122538
12277218680
13150752934
14aa529052
15695ecdd0
hex437c52c0

1132221120 has 112 divisors (see below), whose sum is σ = 3601943520. Its totient is φ = 301326336.

The previous prime is 1132221119. The next prime is 1132221121. The reversal of 1132221120 is 211222311.

It is an interprime number because it is at equal distance from previous prime (1132221119) and next prime (1132221121).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1132221120.

It is not an unprimeable number, because it can be changed into a prime (1132221121) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 702876 + ... + 704484.

It is an arithmetic number, because the mean of its divisors is an integer number (32160210).

Almost surely, 21132221120 is an apocalyptic number.

1132221120 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 1132221120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1800971760).

1132221120 is an abundant number, since it is smaller than the sum of its proper divisors (2469722400).

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

1132221120 is a wasteful number, since it uses less digits than its factorization.

1132221120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2362 (or 2352 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 1132221120 is about 33648.4935769790. The cubic root of 1132221120 is about 1042.2624317049.

Adding to 1132221120 its reverse (211222311), we get a palindrome (1343443431).

The spelling of 1132221120 in words is "one billion, one hundred thirty-two million, two hundred twenty-one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 480 733 960 1466 1609 2199 2932 3218 3665 4398 4827 5864 6436 7330 8045 8796 9654 10995 11728 12872 14660 16090 17592 19308 21990 23456 24135 25744 29320 32180 35184 38616 43980 46912 48270 51488 58640 64360 70368 77232 87960 96540 102976 117280 128720 140736 154464 175920 193080 234560 257440 308928 351840 386160 514880 703680 772320 1179397 1544640 2358794 3538191 4717588 5896985 7076382 9435176 11793970 14152764 17690955 18870352 23587940 28305528 35381910 37740704 47175880 56611056 70763820 75481408 94351760 113222112 141527640 188703520 226444224 283055280 377407040 566110560 1132221120