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1323101120 = 26511234171
BaseRepresentation
bin100111011011100…
…1110101111000000
310102012122111112012
41032313032233000
510202203213440
6335142352052
744534113445
oct11667165700
93365574465
101323101120
11619946500
1230b12b628
13181165a93
14c7a159cc
157b254e65
hex4edcebc0

1323101120 has 84 divisors (see below), whose sum is σ = 3463195512. Its totient is φ = 481113600.

The previous prime is 1323101083. The next prime is 1323101123. The reversal of 1323101120 is 211013231.

It is a junction number, because it is equal to n+sod(n) for n = 1323101095 and 1323101104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1323101123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21635 + ... + 55805.

It is an arithmetic number, because the mean of its divisors is an integer number (41228518).

Almost surely, 21323101120 is an apocalyptic number.

1323101120 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 1323101120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1731597756).

1323101120 is an abundant number, since it is smaller than the sum of its proper divisors (2140094392).

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

1323101120 is a wasteful number, since it uses less digits than its factorization.

1323101120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34210 (or 34189 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

The square root of 1323101120 is about 36374.4569718917. The cubic root of 1323101120 is about 1097.8196812281.

Adding to 1323101120 its reverse (211013231), we get a palindrome (1534114351).

The spelling of 1323101120 in words is "one billion, three hundred twenty-three million, one hundred one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 121 160 176 220 242 320 352 440 484 605 704 880 968 1210 1760 1936 2420 3520 3872 4840 7744 9680 19360 34171 38720 68342 136684 170855 273368 341710 375881 546736 683420 751762 1093472 1366840 1503524 1879405 2186944 2733680 3007048 3758810 4134691 5467360 6014096 7517620 8269382 10934720 12028192 15035240 16538764 20673455 24056384 30070480 33077528 41346910 60140960 66155056 82693820 120281920 132310112 165387640 264620224 330775280 661550560 1323101120