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2320131330 = 2335113532213
BaseRepresentation
bin1000101001001010…
…0110010100000010
312222200201212212000
42022102212110002
514222423200310
61022120244430
7111331535166
oct21222462402
95880655760
102320131330
11a90721010
12549010716
132ac8a329a
141801ccca6
15d8a4b4c0
hex8a4a6502

2320131330 has 128 divisors (see below), whose sum is σ = 6771651840. Its totient is φ = 560609280.

The previous prime is 2320131311. The next prime is 2320131337. The reversal of 2320131330 is 331310232.

2320131330 is a `hidden beast` number, since 2 + 320 + 1 + 313 + 30 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (2320131337) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1047304 + ... + 1049516.

It is an arithmetic number, because the mean of its divisors is an integer number (52903530).

Almost surely, 22320131330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2320131330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3385825920).

2320131330 is an abundant number, since it is smaller than the sum of its proper divisors (4451520510).

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

2320131330 is a wasteful number, since it uses less digits than its factorization.

2320131330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2593 (or 2587 counting only the distinct ones).

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

The square root of 2320131330 is about 48167.7415912351. The cubic root of 2320131330 is about 1323.8461686507.

Adding to 2320131330 its reverse (331310232), we get a palindrome (2651441562).

The spelling of 2320131330 in words is "two billion, three hundred twenty million, one hundred thirty-one thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 27 30 33 45 54 55 66 90 99 110 135 165 198 270 297 330 353 495 594 706 990 1059 1485 1765 2118 2213 2970 3177 3530 3883 4426 5295 6354 6639 7766 9531 10590 11065 11649 13278 15885 19062 19415 19917 22130 23298 24343 31770 33195 34947 38830 39834 47655 48686 58245 59751 66390 69894 73029 95310 99585 104841 116490 119502 121715 146058 174735 199170 209682 219087 243430 298755 349470 365145 438174 524205 597510 657261 730290 781189 1048410 1095435 1314522 1562378 2190870 2343567 3286305 3905945 4687134 6572610 7030701 7811890 8593079 11717835 14061402 17186158 21092103 23435670 25779237 35153505 42184206 42965395 51558474 70307010 77337711 85930790 105460515 128896185 154675422 210921030 232013133 257792370 386688555 464026266 773377110 1160065665 2320131330