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1331128080 = 24345205421
BaseRepresentation
bin100111101010111…
…0110011100010000
310102202202022110000
41033111312130100
510211232044310
6340030410000
744662254612
oct11725663420
93382668400
101331128080
11623429257
12311960900
13182a16569
14c8b04db2
157bcdd4c0
hex4f576710

1331128080 has 100 divisors (see below), whose sum is σ = 4623227532. Its totient is φ = 354965760.

The previous prime is 1331128027. The next prime is 1331128091. The reversal of 1331128080 is 808211331.

It can be written as a sum of positive squares in 2 ways, for example, as 837755136 + 493372944 = 28944^2 + 22212^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 96231 + ... + 109190.

Almost surely, 21331128080 is an apocalyptic number.

1331128080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1331128080 is an abundant number, since it is smaller than the sum of its proper divisors (3292099452).

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

1331128080 is a wasteful number, since it uses less digits than its factorization.

1331128080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205446 (or 205431 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 1331128080 is about 36484.6279959108. The cubic root of 1331128080 is about 1100.0352826149.

The spelling of 1331128080 in words is "one billion, three hundred thirty-one million, one hundred twenty-eight thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 81 90 108 120 135 144 162 180 216 240 270 324 360 405 432 540 648 720 810 1080 1296 1620 2160 3240 6480 205421 410842 616263 821684 1027105 1232526 1643368 1848789 2054210 2465052 3081315 3286736 3697578 4108420 4930104 5546367 6162630 7395156 8216840 9243945 9860208 11092734 12325260 14790312 16433680 16639101 18487890 22185468 24650520 27731835 29580624 33278202 36975780 44370936 49301040 55463670 66556404 73951560 83195505 88741872 110927340 133112808 147903120 166391010 221854680 266225616 332782020 443709360 665564040 1331128080