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1003103316 = 2232101275881
BaseRepresentation
bin111011110010100…
…010010001010100
32120220111221001200
4323302202101110
54023243301231
6243311552500
733600144315
oct7362422124
92526457050
101003103316
11475253406
1223bb2b730
1312ca85877
149731860c
155d0e5be6
hex3bca2454

1003103316 has 36 divisors (see below), whose sum is σ = 2560736724. Its totient is φ = 331056000.

The previous prime is 1003103249. The next prime is 1003103317. The reversal of 1003103316 is 6133013001.

It can be written as a sum of positive squares in 2 ways, for example, as 986211216 + 16892100 = 31404^2 + 4110^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1003103317) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 134305 + ... + 141576.

Almost surely, 21003103316 is an apocalyptic number.

It is an amenable number.

1003103316 is an abundant number, since it is smaller than the sum of its proper divisors (1557633408).

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

1003103316 is a wasteful number, since it uses less digits than its factorization.

1003103316 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 275992 (or 275987 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

The square root of 1003103316 is about 31671.8063267632. The cubic root of 1003103316 is about 1001.0333704444.

Adding to 1003103316 its reverse (6133013001), we get a palindrome (7136116317).

The spelling of 1003103316 in words is "one billion, three million, one hundred three thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 36 101 202 303 404 606 909 1212 1818 3636 275881 551762 827643 1103524 1655286 2482929 3310572 4965858 9931716 27863981 55727962 83591943 111455924 167183886 250775829 334367772 501551658 1003103316