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1313212344030 = 2325109311430433
BaseRepresentation
bin10011000111000001100…
…011100010011011011110
311122112122000201001221100
4103013001203202123132
5133003424330002110
62443140442013530
7163606424514666
oct23070143423336
94575560631840
101313212344030
11466a26150884
121926141a72a6
1396ab2485ba2
14477ba1cb1a6
152425dd1dbc0
hex131c18e26de

1313212344030 has 96 divisors (see below), whose sum is σ = 3456763801920. Its totient is φ = 345860720640.

The previous prime is 1313212343969. The next prime is 1313212344043. The reversal of 1313212344030 is 304432123131.

It is a happy number.

1313212344030 is a `hidden beast` number, since 1 + 3 + 1 + 3 + 21 + 234 + 403 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1313212343985 and 1313212344003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2835694 + ... + 3266126.

It is an arithmetic number, because the mean of its divisors is an integer number (36007956270).

Almost surely, 21313212344030 is an apocalyptic number.

1313212344030 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 1313212344030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1728381900960).

1313212344030 is an abundant number, since it is smaller than the sum of its proper divisors (2143551457890).

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

1313212344030 is a wasteful number, since it uses less digits than its factorization.

1313212344030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 430866 (or 430863 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 1313212344030 its reverse (304432123131), we get a palindrome (1617644467161).

The spelling of 1313212344030 in words is "one trillion, three hundred thirteen billion, two hundred twelve million, three hundred forty-four thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 109 218 311 327 545 622 654 933 981 1090 1555 1635 1866 1962 2799 3110 3270 4665 4905 5598 9330 9810 13995 27990 33899 67798 101697 169495 203394 305091 338990 430433 508485 610182 860866 1016970 1291299 1525455 2152165 2582598 3050910 3873897 4304330 6456495 7747794 12912990 19369485 38738970 46917197 93834394 133864663 140751591 234585985 267729326 281503182 401593989 422254773 469171970 669323315 703757955 803187978 844509546 1204781967 1338646630 1407515910 2007969945 2111273865 2409563934 4015939890 4222547730 6023909835 12047819670 14591248267 29182496534 43773744801 72956241335 87547489602 131321234403 145912482670 218868724005 262642468806 437737448010 656606172015 1313212344030