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31322121323130 = 232511171861088611
BaseRepresentation
bin1110001111100101111111…
…11010100100001001111010
311002220100212111012212020100
413013302333322210021322
513101140201024320010
6150341103415340230
76411643236251211
oct707627772441172
9132810774185210
1031322121323130
119a86700a14780
12361a52b081676
1314628815568b1
147a3dda858078
15394b60ce52c0
hex1c7cbfea427a

31322121323130 has 96 divisors (see below), whose sum is σ = 94066862804928. Its totient is φ = 7146580262400.

The previous prime is 31322121323111. The next prime is 31322121323137. The reversal of 31322121323130 is 3132312122313.

31322121323130 is a `hidden beast` number, since 3 + 1 + 3 + 2 + 212 + 132 + 313 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 31322121323094 and 31322121323103.

It is not an unprimeable number, because it can be changed into a prime (31322121323137) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 930527476 + ... + 930561135.

It is an arithmetic number, because the mean of its divisors is an integer number (979863154218).

Almost surely, 231322121323130 is an apocalyptic number.

31322121323130 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

31322121323130 is an abundant number, since it is smaller than the sum of its proper divisors (62744741481798).

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

31322121323130 is a wasteful number, since it uses less digits than its factorization.

31322121323130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1861088652 (or 1861088649 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 31322121323130 its reverse (3132312122313), we get a palindrome (34454433445443).

The spelling of 31322121323130 in words is "thirty-one trillion, three hundred twenty-two billion, one hundred twenty-one million, three hundred twenty-three thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 15 17 18 22 30 33 34 45 51 55 66 85 90 99 102 110 153 165 170 187 198 255 306 330 374 495 510 561 765 935 990 1122 1530 1683 1870 2805 3366 5610 8415 16830 1861088611 3722177222 5583265833 9305443055 11166531666 16749797499 18610886110 20471974721 27916329165 31638506387 33499594998 40943949442 55832658330 61415924163 63277012774 83748987495 94915519161 102359873605 122831848326 158192531935 167497974990 184247772489 189831038322 204719747210 284746557483 307079620815 316385063870 348023570257 368495544978 474577595805 569493114966 614159241630 696047140514 921238862445 949155191610 1044070710771 1423732787415 1740117851285 1842477724890 2088141421542 2847465574830 3132212132313 3480235702570 5220353553855 6264424264626 10440707107710 15661060661565 31322121323130