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1321031320 = 23578356843
BaseRepresentation
bin100111010111101…
…0101011010011000
310102001202100021221
41032233111122120
510201141000240
6335030141424
744510403160
oct11657253230
93361670257
101321031320
11618762424
1230a4b1874
131808bc94b
14c76375a0
157ae96a4a
hex4ebd5698

1321031320 has 64 divisors (see below), whose sum is σ = 3437925120. Its totient is φ = 447460224.

The previous prime is 1321031273. The next prime is 1321031329. The reversal of 1321031320 is 231301231.

It is a junction number, because it is equal to n+sod(n) for n = 1321031294 and 1321031303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1321031329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5182 + ... + 51661.

It is an arithmetic number, because the mean of its divisors is an integer number (53717580).

Almost surely, 21321031320 is an apocalyptic number.

1321031320 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 1321031320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1718962560).

1321031320 is an abundant number, since it is smaller than the sum of its proper divisors (2116893800).

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

1321031320 is a wasteful number, since it uses less digits than its factorization.

1321031320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56944 (or 56940 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

The square root of 1321031320 is about 36345.9945523575. The cubic root of 1321031320 is about 1097.2469225149.

Adding to 1321031320 its reverse (231301231), we get a palindrome (1552332551).

The spelling of 1321031320 in words is "one billion, three hundred twenty-one million, thirty-one thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 83 140 166 280 332 415 581 664 830 1162 1660 2324 2905 3320 4648 5810 11620 23240 56843 113686 227372 284215 397901 454744 568430 795802 1136860 1591604 1989505 2273720 3183208 3979010 4717969 7958020 9435938 15916040 18871876 23589845 33025783 37743752 47179690 66051566 94359380 132103132 165128915 188718760 264206264 330257830 660515660 1321031320