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1013323304430 = 2325311373264529
BaseRepresentation
bin11101011111011101100…
…01101000110111101110
310120212120020120102020200
432233232301220313232
5113100241231220210
62053303031054330
7133132044654123
oct16575661506756
93525506512220
101013323304430
11360825651798
1214447bb113a6
137472c637828
143708bad074a
151b55b27c0c0
hexebeec68dee

1013323304430 has 96 divisors (see below), whose sum is σ = 2721620079360. Its totient is φ = 261311339520.

The previous prime is 1013323304377. The next prime is 1013323304479. The reversal of 1013323304430 is 344033233101.

1013323304430 is a `hidden beast` number, since 1 + 0 + 1 + 3 + 323 + 304 + 4 + 30 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1013323304394 and 1013323304403.

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, 3698406 + ... + 3962934.

It is an arithmetic number, because the mean of its divisors is an integer number (28350209160).

Almost surely, 21013323304430 is an apocalyptic number.

1013323304430 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 1013323304430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1360810039680).

1013323304430 is an abundant number, since it is smaller than the sum of its proper divisors (1708296774930).

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

1013323304430 is a wasteful number, since it uses less digits than its factorization.

1013323304430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 265946 (or 265943 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 1013323304430 its reverse (344033233101), we get a palindrome (1357356537531).

The spelling of 1013323304430 in words is "one trillion, thirteen billion, three hundred twenty-three million, three hundred four thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 31 45 62 90 93 155 186 279 310 465 558 930 1373 1395 2746 2790 4119 6865 8238 12357 13730 20595 24714 41190 42563 61785 85126 123570 127689 212815 255378 264529 383067 425630 529058 638445 766134 793587 1276890 1322645 1587174 1915335 2380761 2645290 3830670 3967935 4761522 7935870 8200399 11903805 16400798 23807610 24601197 41001995 49202394 73803591 82003990 123005985 147607182 246011970 363198317 369017955 726396634 738035910 1089594951 1815991585 2179189902 3268784853 3631983170 5447974755 6537569706 10895949510 11259147827 16343924265 22518295654 32687848530 33777443481 56295739135 67554886962 101332330443 112591478270 168887217405 202664660886 337774434810 506661652215 1013323304430