Search a number
-
+
1031231320 = 23573979277
BaseRepresentation
bin111101011101110…
…101011101011000
32122212102222102121
4331131311131120
54102443400240
6250154511024
734361215210
oct7535653530
92585388377
101031231320
1148a115399
12249435474
13135853762
149ad5b240
156080004a
hex3d775758

1031231320 has 64 divisors (see below), whose sum is σ = 2658703680. Its totient is φ = 352636416.

The previous prime is 1031231309. The next prime is 1031231359. The reversal of 1031231320 is 231321301.

It is a junction number, because it is equal to n+sod(n) for n = 1031231294 and 1031231303.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 106522 + ... + 115798.

It is an arithmetic number, because the mean of its divisors is an integer number (41542245).

Almost surely, 21031231320 is an apocalyptic number.

1031231320 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 1031231320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1329351840).

1031231320 is an abundant number, since it is smaller than the sum of its proper divisors (1627472360).

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

1031231320 is a wasteful number, since it uses less digits than its factorization.

1031231320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9692 (or 9688 counting only the distinct ones).

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

The square root of 1031231320 is about 32112.7905981402. The cubic root of 1031231320 is about 1010.3039048873.

Adding to 1031231320 its reverse (231321301), we get a palindrome (1262552621).

The spelling of 1031231320 in words is "one billion, thirty-one million, two hundred thirty-one thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 397 794 1588 1985 2779 3176 3970 5558 7940 9277 11116 13895 15880 18554 22232 27790 37108 46385 55580 64939 74216 92770 111160 129878 185540 259756 324695 371080 519512 649390 1298780 2597560 3682969 7365938 14731876 18414845 25780783 29463752 36829690 51561566 73659380 103123132 128903915 147318760 206246264 257807830 515615660 1031231320