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320133131010 = 233571115398419
BaseRepresentation
bin1001010100010010110…
…10111110101100000010
31010121022121222001102000
410222021122332230002
520221113040143020
6403022300004430
732062124500320
oct4521132765402
91117277861360
10320133131010
11113849896650
1252063b30716
132425ac7a194
14116ccda0d10
1584d9e76090
hex4a896beb02

320133131010 has 128 divisors (see below), whose sum is σ = 1064338790400. Its totient is φ = 66521165760.

The previous prime is 320133130957. The next prime is 320133131023. The reversal of 320133131010 is 10131331023.

It is a happy number.

320133131010 is a `hidden beast` number, since 3 + 20 + 1 + 331 + 310 + 1 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7678420 + ... + 7719999.

It is an arithmetic number, because the mean of its divisors is an integer number (8315146800).

Almost surely, 2320133131010 is an apocalyptic number.

320133131010 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

320133131010 is an abundant number, since it is smaller than the sum of its proper divisors (744205659390).

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

320133131010 is a wasteful number, since it uses less digits than its factorization.

320133131010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15398453 (or 15398447 counting only the distinct ones).

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

Adding to 320133131010 its reverse (10131331023), we get a palindrome (330264462033).

The spelling of 320133131010 in words is "three hundred twenty billion, one hundred thirty-three million, one hundred thirty-one thousand, ten".

Divisors: 1 2 3 5 6 7 9 10 11 14 15 18 21 22 27 30 33 35 42 45 54 55 63 66 70 77 90 99 105 110 126 135 154 165 189 198 210 231 270 297 315 330 378 385 462 495 594 630 693 770 945 990 1155 1386 1485 1890 2079 2310 2970 3465 4158 6930 10395 20790 15398419 30796838 46195257 76992095 92390514 107788933 138585771 153984190 169382609 215577866 230976285 277171542 323366799 338765218 415757313 461952570 508147827 538944665 646733598 692928855 831514626 846913045 970100397 1016295654 1077889330 1185678263 1385857710 1524443481 1616833995 1693826090 1940200794 2078786565 2371356526 2540739135 2910301191 3048886962 3233667990 3557034789 4157573130 4573330443 4850501985 5081478270 5820602382 5928391315 7114069578 7622217405 9146660886 9701003970 10671104367 11856782630 14551505955 15244434810 17785173945 21342208734 22866652215 29103011910 32013313101 35570347890 45733304430 53355521835 64026626202 106711043670 160066565505 320133131010