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1321331130 = 23457397587
BaseRepresentation
bin100111011000001…
…1110100110111010
310102002022120120000
41032300132212322
510201230044010
6335040413430
744513062230
oct11660364672
93362276500
101321331130
116189476a9
1230a617276
13180996252
14c76b4950
157b0057c0
hex4ec1e9ba

1321331130 has 160 divisors (see below), whose sum is σ = 4077634176. Its totient is φ = 300744576.

The previous prime is 1321331111. The next prime is 1321331159. The reversal of 1321331130 is 311331231.

It is a happy number.

1321331130 is a `hidden beast` number, since 1 + 321 + 3 + 311 + 30 = 666.

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

It is a Curzon 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 79 ways as a sum of consecutive naturals, for example, 2250697 + ... + 2251283.

Almost surely, 21321331130 is an apocalyptic number.

1321331130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1321331130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2038817088).

1321331130 is an abundant number, since it is smaller than the sum of its proper divisors (2756303046).

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

1321331130 is a wasteful number, since it uses less digits than its factorization.

1321331130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1010 (or 1001 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

The square root of 1321331130 is about 36350.1187068213. The cubic root of 1321331130 is about 1097.3299235035.

Adding to 1321331130 its reverse (311331231), we get a palindrome (1632662361).

The spelling of 1321331130 in words is "one billion, three hundred twenty-one million, three hundred thirty-one thousand, one hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 35 42 45 54 63 70 81 90 105 126 135 162 189 210 270 315 378 397 405 567 587 630 794 810 945 1134 1174 1191 1761 1890 1985 2382 2779 2835 2935 3522 3573 3970 4109 5283 5558 5670 5870 5955 7146 8218 8337 8805 10566 10719 11910 12327 13895 15849 16674 17610 17865 20545 21438 24654 25011 26415 27790 31698 32157 35730 36981 41090 41685 47547 50022 52830 53595 61635 64314 73962 75033 79245 83370 95094 107190 110943 123270 125055 150066 158490 160785 184905 221886 225099 233039 237735 250110 321570 332829 369810 375165 450198 466078 475470 554715 665658 699117 750330 1109430 1125495 1165195 1398234 1631273 1664145 2097351 2250990 2330390 3262546 3328290 3495585 4194702 4893819 6292053 6991170 8156365 9787638 10486755 12584106 14681457 16312730 18876159 20973510 24469095 29362914 31460265 37752318 44044371 48938190 62920530 73407285 88088742 94380795 132133113 146814570 188761590 220221855 264266226 440443710 660665565 1321331130