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1031321320 = 235178917041
BaseRepresentation
bin111101011110001…
…011011011101000
32122212121112212221
4331132023123220
54103004240240
6250200443424
734362041461
oct7536133350
92585545787
101031321320
1148a176a77
12249479574
13135885703
149ad81d68
156081ba4a
hex3d78b6e8

1031321320 has 64 divisors (see below), whose sum is σ = 2484723600. Its totient is φ = 383877120.

The previous prime is 1031321309. The next prime is 1031321321. The reversal of 1031321320 is 231231301.

It can be written as a sum of positive squares in 8 ways, for example, as 667808964 + 363512356 = 25842^2 + 19066^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1031321294 and 1031321303.

It is not an unprimeable number, because it can be changed into a prime (1031321321) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 52000 + ... + 69040.

Almost surely, 21031321320 is an apocalyptic number.

1031321320 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 1031321320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1242361800).

1031321320 is an abundant number, since it is smaller than the sum of its proper divisors (1453402280).

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

1031321320 is a wasteful number, since it uses less digits than its factorization.

1031321320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17158 (or 17154 counting only the distinct ones).

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

The square root of 1031321320 is about 32114.1918783581. The cubic root of 1031321320 is about 1010.3332952238. Note that the first 3 decimals are identical.

Adding to 1031321320 its reverse (231231301), we get a palindrome (1262552621).

The spelling of 1031321320 in words is "one billion, thirty-one million, three hundred twenty-one thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 89 136 170 178 340 356 445 680 712 890 1513 1780 3026 3560 6052 7565 12104 15130 17041 30260 34082 60520 68164 85205 136328 170410 289697 340820 579394 681640 1158788 1448485 1516649 2317576 2896970 3033298 5793940 6066596 7583245 11587880 12133192 15166490 25783033 30332980 51566066 60665960 103132132 128915165 206264264 257830330 515660660 1031321320