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813321030 = 235198771627
BaseRepresentation
bin110000011110100…
…100101101000110
32002200101222201010
4300132210231012
53131202233110
6212412143050
726104054224
oct6036445506
92080358633
10813321030
1138810a145
121a8467a86
13cc668262
147a035b14
154b609020
hex307a4b46

813321030 has 64 divisors (see below), whose sum is σ = 2058312960. Its totient is φ = 205110144.

The previous prime is 813321023. The next prime is 813321043. The reversal of 813321030 is 30123318.

It is a happy number.

It is a super-2 number, since 2×8133210302 = 1322982195680521800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 813320988 and 813321006.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 499077 + ... + 500703.

It is an arithmetic number, because the mean of its divisors is an integer number (32161140).

Almost surely, 2813321030 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 813321030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1029156480).

813321030 is an abundant number, since it is smaller than the sum of its proper divisors (1244991930).

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

813321030 is a wasteful number, since it uses less digits than its factorization.

813321030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2533.

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 813321030 is about 28518.7838099734. The cubic root of 813321030 is about 933.4419914596.

Adding to 813321030 its reverse (30123318), we get a palindrome (843444348).

The spelling of 813321030 in words is "eight hundred thirteen million, three hundred twenty-one thousand, thirty".

Divisors: 1 2 3 5 6 10 15 19 30 38 57 95 114 190 285 570 877 1627 1754 2631 3254 4385 4881 5262 8135 8770 9762 13155 16270 16663 24405 26310 30913 33326 48810 49989 61826 83315 92739 99978 154565 166630 185478 249945 309130 463695 499890 927390 1426879 2853758 4280637 7134395 8561274 14268790 21403185 27110701 42806370 54221402 81332103 135553505 162664206 271107010 406660515 813321030