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1331230320 = 243257264133
BaseRepresentation
bin100111101011000…
…1111011001110000
310102202221111200200
41033112033121300
510211243332240
6340032515200
744663161650
oct11726173160
93382844620
101331230320
11623499052
123119abb00
13182a50c64
14c8b30360
157bd0d930
hex4f58f670

1331230320 has 120 divisors (see below), whose sum is σ = 5109408096. Its totient is φ = 304280064.

The previous prime is 1331230301. The next prime is 1331230337. The reversal of 1331230320 is 230321331.

1331230320 is a `hidden beast` number, since 1 + 3 + 312 + 30 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1331230293 and 1331230302.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 127027 + ... + 137106.

Almost surely, 21331230320 is an apocalyptic number.

1331230320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1331230320 is an abundant number, since it is smaller than the sum of its proper divisors (3778177776).

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

1331230320 is a wasteful number, since it uses less digits than its factorization.

1331230320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264159 (or 264150 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 1331230320 is about 36486.0291070432. The cubic root of 1331230320 is about 1100.0634453764.

Adding to 1331230320 its reverse (230321331), we get a palindrome (1561551651).

The spelling of 1331230320 in words is "one billion, three hundred thirty-one million, two hundred thirty thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 28 30 35 36 40 42 45 48 56 60 63 70 72 80 84 90 105 112 120 126 140 144 168 180 210 240 252 280 315 336 360 420 504 560 630 720 840 1008 1260 1680 2520 5040 264133 528266 792399 1056532 1320665 1584798 1848931 2113064 2377197 2641330 3169596 3697862 3961995 4226128 4754394 5282660 5546793 6339192 7395724 7923990 9244655 9508788 10565320 11093586 11885985 12678384 14791448 15847980 16640379 18489310 19017576 21130640 22187172 23771970 27733965 29582896 31695960 33280758 36978620 38035152 44374344 47543940 55467930 63391920 66561516 73957240 83201895 88748688 95087880 110935860 133123032 147914480 166403790 190175760 221871720 266246064 332807580 443743440 665615160 1331230320