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1313313303330 = 2325712231704517
BaseRepresentation
bin10011000111000111100…
…100101010101100100010
311122112220001200100001200
4103013013210222230202
5133004131201201310
62443154445542030
7163612061613660
oct23070744525442
94575801610050
101313313303330
11466a78138016
12192641b74916
1396aca374212
14477c978bc30
1524267b129c0
hex131c792ab22

1313313303330 has 96 divisors (see below), whose sum is σ = 3905609819904. Its totient is φ = 299940271488.

The previous prime is 1313313303293. The next prime is 1313313303343. The reversal of 1313313303330 is 333033133131.

1313313303330 is a `hidden beast` number, since 1 + 3 + 13 + 3 + 13 + 303 + 330 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1313313303294 and 1313313303303.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 81769 + ... + 1622748.

It is an arithmetic number, because the mean of its divisors is an integer number (40683435624).

Almost surely, 21313313303330 is an apocalyptic number.

1313313303330 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 1313313303330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1952804909952).

1313313303330 is an abundant number, since it is smaller than the sum of its proper divisors (2592296516574).

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

1313313303330 is a wasteful number, since it uses less digits than its factorization.

1313313303330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1705760 (or 1705757 counting only the distinct ones).

The product of its (nonzero) digits is 6561, while the sum is 27.

Adding to 1313313303330 its reverse (333033133131), we get a palindrome (1646346436461).

The spelling of 1313313303330 in words is "one trillion, three hundred thirteen billion, three hundred thirteen million, three hundred three thousand, three hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 63 70 90 105 126 210 315 630 1223 2446 3669 6115 7338 8561 11007 12230 17122 18345 22014 25683 36690 42805 51366 55035 77049 85610 110070 128415 154098 256830 385245 770490 1704517 3409034 5113551 8522585 10227102 11931619 15340653 17045170 23863238 25567755 30681306 35794857 51135510 59658095 71589714 76703265 107384571 119316190 153406530 178974285 214769142 357948570 536922855 1073845710 2084624291 4169248582 6253872873 10423121455 12507745746 14592370037 18761618619 20846242910 29184740074 31269364365 37523237238 43777110111 62538728730 72961850185 87554220222 93808093095 131331330333 145923700370 187616186190 218885550555 262662660666 437771101110 656656651665 1313313303330