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3031221120 = 27352695869
BaseRepresentation
bin1011010010101100…
…1100001110000000
321211020202222122220
42310223030032000
522201443033440
61220441331040
7135054645234
oct26453141600
97736688586
103031221120
111316055324
12707196a80
13393cc6285
1420a8125c4
1512b1ae8d0
hexb4acc380

3031221120 has 128 divisors (see below), whose sum is σ = 9699588000. Its totient is φ = 805183488.

The previous prime is 3031221113. The next prime is 3031221131. The reversal of 3031221120 is 211221303.

It is a tau number, because it is divible by the number of its divisors (128).

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 3031221120.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 513546 + ... + 519414.

Almost surely, 23031221120 is an apocalyptic number.

3031221120 is a gapful number since it is divisible by the number (30) 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 3031221120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4849794000).

3031221120 is an abundant number, since it is smaller than the sum of its proper divisors (6668366880).

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

3031221120 is a wasteful number, since it uses less digits than its factorization.

3031221120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6160 (or 6148 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 3031221120 is about 55056.5265885889. The cubic root of 3031221120 is about 1447.2354968450.

Adding to 3031221120 its reverse (211221303), we get a palindrome (3242442423).

The spelling of 3031221120 in words is "three billion, thirty-one 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 96 120 128 160 192 240 269 320 384 480 538 640 807 960 1076 1345 1614 1920 2152 2690 3228 4035 4304 5380 5869 6456 8070 8608 10760 11738 12912 16140 17216 17607 21520 23476 25824 29345 32280 34432 35214 43040 46952 51648 58690 64560 70428 86080 88035 93904 103296 117380 129120 140856 172160 176070 187808 234760 258240 281712 352140 375616 469520 516480 563424 704280 751232 939040 1126848 1408560 1578761 1878080 2253696 2817120 3157522 3756160 4736283 5634240 6315044 7893805 9472566 11268480 12630088 15787610 18945132 23681415 25260176 31575220 37890264 47362830 50520352 63150440 75780528 94725660 101040704 126300880 151561056 189451320 202081408 252601760 303122112 378902640 505203520 606244224 757805280 1010407040 1515610560 3031221120