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1323110420 = 2252313920693
BaseRepresentation
bin100111011011101…
…0001000000010100
310102012122222021122
41032313101000110
510202204013140
6335142503112
744534152532
oct11667210024
93365588248
101323110420
11619952495
1230b134a98
1318116a098
14c7a19152
157b257ab5
hex4edd1014

1323110420 has 48 divisors (see below), whose sum is σ = 2920337280. Its totient is φ = 502567296.

The previous prime is 1323110389. The next prime is 1323110431. The reversal of 1323110420 is 240113231.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 53594 + ... + 74286.

It is an arithmetic number, because the mean of its divisors is an integer number (60840360).

Almost surely, 21323110420 is an apocalyptic number.

1323110420 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 1323110420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1460168640).

1323110420 is an abundant number, since it is smaller than the sum of its proper divisors (1597226860).

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

1323110420 is a wasteful number, since it uses less digits than its factorization.

1323110420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20864 (or 20862 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 1323110420 is about 36374.5848086270. The cubic root of 1323110420 is about 1097.8222533921.

Adding to 1323110420 its reverse (240113231), we get a palindrome (1563223651).

The spelling of 1323110420 in words is "one billion, three hundred twenty-three million, one hundred ten thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 23 46 92 115 139 230 278 460 556 695 1390 2780 3197 6394 12788 15985 20693 31970 41386 63940 82772 103465 206930 413860 475939 951878 1903756 2379695 2876327 4759390 5752654 9518780 11505308 14381635 28763270 57526540 66155521 132311042 264622084 330777605 661555210 1323110420