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1303103120 = 245117431993
BaseRepresentation
bin100110110101011…
…1100011010010000
310100211000111102112
41031222330122100
510132043244440
6333150004452
744202123314
oct11552743220
93324014375
101303103120
11609627730
123044a6728
13179c83547
14c50cbb44
1579604965
hex4dabc690

1303103120 has 80 divisors (see below), whose sum is σ = 3311252352. Its totient is φ = 472980480.

The previous prime is 1303103119. The next prime is 1303103129. The reversal of 1303103120 is 213013031.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 1303103095 and 1303103104.

It is not an unprimeable number, because it can be changed into a prime (1303103129) 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, 652844 + ... + 654836.

Almost surely, 21303103120 is an apocalyptic number.

1303103120 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 1303103120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1655626176).

1303103120 is an abundant number, since it is smaller than the sum of its proper divisors (2008149232).

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

1303103120 is a wasteful number, since it uses less digits than its factorization.

1303103120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2760 (or 2754 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 14.

The square root of 1303103120 is about 36098.5196372372. The cubic root of 1303103120 is about 1092.2605835563.

Adding to 1303103120 its reverse (213013031), we get a palindrome (1516116151).

The spelling of 1303103120 in words is "one billion, three hundred three million, one hundred three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 440 743 880 1486 1993 2972 3715 3986 5944 7430 7972 8173 9965 11888 14860 15944 16346 19930 21923 29720 31888 32692 39860 40865 43846 59440 65384 79720 81730 87692 109615 130768 159440 163460 175384 219230 326920 350768 438460 653840 876920 1480799 1753840 2961598 5923196 7403995 11846392 14807990 16288789 23692784 29615980 32577578 59231960 65155156 81443945 118463920 130310312 162887890 260620624 325775780 651551560 1303103120