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1003310112 = 25377918899
BaseRepresentation
bin111011110011010…
…100110000100000
32120220220102201210
4323303110300200
54023321410422
6243320230120
733601665240
oct7363246040
92526812653
101003310112
11475384812
1224000b340
1312cb28a2c
149736db20
155d13710c
hex3bcd4c20

1003310112 has 96 divisors (see below), whose sum is σ = 3048192000. Its totient is φ = 283016448.

The previous prime is 1003310089. The next prime is 1003310123. The reversal of 1003310112 is 2110133001.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43639 + ... + 62537.

It is an arithmetic number, because the mean of its divisors is an integer number (31752000).

Almost surely, 21003310112 is an apocalyptic number.

1003310112 is a gapful number since it is divisible by the number (12) 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 1003310112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1524096000).

1003310112 is an abundant number, since it is smaller than the sum of its proper divisors (2044881888).

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

1003310112 is a wasteful number, since it uses less digits than its factorization.

1003310112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18998 (or 18990 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

The square root of 1003310112 is about 31675.0708286501. The cubic root of 1003310112 is about 1001.1021554737.

Adding to 1003310112 its reverse (2110133001), we get a palindrome (3113443113).

The spelling of 1003310112 in words is "one billion, three million, three hundred ten thousand, one hundred twelve".