Search a number
-
+
1320332303420 = 2251323536431721
BaseRepresentation
bin10011001101101001111…
…100000001110000111100
311200020000020011111001222
4103031221330001300330
5133113020032202140
62450315143252512
7164251031256044
oct23155174016074
94606006144058
101320332303420
11469a4a189739
12193a8074a138
13976785a0400
1447c93a52724
1524528e315b5
hex13369f01c3c

1320332303420 has 144 divisors (see below), whose sum is σ = 3017328928992. Its totient is φ = 485088215040.

The previous prime is 1320332303401. The next prime is 1320332303431. The reversal of 1320332303420 is 243032330231.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 1320332303420.

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, 767188160 + ... + 767189880.

It is an arithmetic number, because the mean of its divisors is an integer number (20953673118).

Almost surely, 21320332303420 is an apocalyptic number.

1320332303420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1320332303420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1508664464496).

1320332303420 is an abundant number, since it is smaller than the sum of its proper divisors (1696996625572).

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

1320332303420 is a wasteful number, since it uses less digits than its factorization.

1320332303420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2752 (or 2737 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 26.

Adding to 1320332303420 its reverse (243032330231), we get a palindrome (1563364633651).

The spelling of 1320332303420 in words is "one trillion, three hundred twenty billion, three hundred thirty-two million, three hundred three thousand, four hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 169 260 338 353 643 676 706 845 1286 1412 1690 1721 1765 2572 3215 3380 3442 3530 4589 6430 6884 7060 8359 8605 9178 12860 16718 17210 18356 22373 22945 33436 34420 41795 44746 45890 59657 83590 89492 91780 108667 111865 119314 167180 217334 223730 226979 238628 290849 298285 434668 447460 453958 543335 581698 596570 607513 907916 1086670 1106603 1134895 1163396 1193140 1215026 1454245 2173340 2213206 2269790 2430052 2908490 2950727 3037565 4426412 4539580 5533015 5816980 5901454 6075130 7897669 11066030 11802908 12150260 14385839 14753635 15795338 22132060 28771678 29507270 31590676 38359451 39488345 57543356 59014540 71929195 76718902 78976690 102669697 143858390 153437804 157953380 187015907 191797255 205339394 287716780 374031814 383594510 390630859 410678788 513348485 748063628 767189020 781261718 935079535 1026696970 1562523436 1870159070 1953154295 2053393940 3740318140 3906308590 5078201167 7812617180 10156402334 20312804668 25391005835 50782011670 66016615171 101564023340 132033230342 264066460684 330083075855 660166151710 1320332303420