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1303103320 = 235833891009
BaseRepresentation
bin100110110101011…
…1100011101011000
310100211000111200221
41031222330131120
510132043301240
6333150005424
744202124021
oct11552743530
93324014627
101303103320
116096278a2
123044a6874
13179c8366c
14c50cbc48
1579604a4a
hex4dabc758

1303103320 has 64 divisors (see below), whose sum is σ = 2977884000. Its totient is φ = 513128448.

The previous prime is 1303103309. The next prime is 1303103381. The reversal of 1303103320 is 233013031.

It is a junction number, because it is equal to n+sod(n) for n = 1303103294 and 1303103303.

It is a congruent number.

It is an unprimeable number.

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, 1290976 + ... + 1291984.

Almost surely, 21303103320 is an apocalyptic number.

1303103320 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 1303103320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1488942000).

1303103320 is an abundant number, since it is smaller than the sum of its proper divisors (1674780680).

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

1303103320 is a wasteful number, since it uses less digits than its factorization.

1303103320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1492 (or 1488 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 16.

The square root of 1303103320 is about 36098.5224074338. The cubic root of 1303103320 is about 1092.2606394362.

Adding to 1303103320 its reverse (233013031), we get a palindrome (1536116351).

The spelling of 1303103320 in words is "one billion, three hundred three million, one hundred three thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 83 166 332 389 415 664 778 830 1009 1556 1660 1945 2018 3112 3320 3890 4036 5045 7780 8072 10090 15560 20180 32287 40360 64574 83747 129148 161435 167494 258296 322870 334988 392501 418735 645740 669976 785002 837470 1291480 1570004 1674940 1962505 3140008 3349880 3925010 7850020 15700040 32577583 65155166 130310332 162887915 260620664 325775830 651551660 1303103320