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1323321012 = 22321323911831
BaseRepresentation
bin100111011100000…
…0100011010110100
310102020001200011100
41032320010122310
510202232233022
6335151210100
744536020516
oct11670043264
93366050140
101323321012
11619a86732
1230b216930
13181211bb0
14c7a71bb6
157b29a1ac
hex4ee046b4

1323321012 has 72 divisors (see below), whose sum is σ = 3617752320. Its totient is φ = 405437760.

The previous prime is 1323320989. The next prime is 1323321017. The reversal of 1323321012 is 2101233231.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1323321017) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 105937 + ... + 117767.

It is an arithmetic number, because the mean of its divisors is an integer number (50246560).

Almost surely, 21323321012 is an apocalyptic number.

1323321012 is a gapful number since it is divisible by the number (12) 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 1323321012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1808876160).

1323321012 is an abundant number, since it is smaller than the sum of its proper divisors (2294431308).

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

1323321012 is a wasteful number, since it uses less digits than its factorization.

1323321012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12093 (or 12088 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 1323321012 is about 36377.4794618869. The cubic root of 1323321012 is about 1097.8804950212.

Adding to 1323321012 its reverse (2101233231), we get a palindrome (3424554243).

The spelling of 1323321012 in words is "one billion, three hundred twenty-three million, three hundred twenty-one thousand, twelve".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 239 468 478 717 956 1434 2151 2868 3107 4302 6214 8604 9321 11831 12428 18642 23662 27963 35493 37284 47324 55926 70986 106479 111852 141972 153803 212958 307606 425916 461409 615212 922818 1384227 1845636 2768454 2827609 5536908 5655218 8482827 11310436 16965654 25448481 33931308 36758917 50896962 73517834 101793924 110276751 147035668 220553502 330830253 441107004 661660506 1323321012