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2103312000 = 27353291511
BaseRepresentation
bin111110101011101…
…1111111010000000
312102120202022122110
41331113133322000
513301421441000
6544413135320
7103056566646
oct17527377200
95376668573
102103312000
1198a2a0489
124a848a540
132769aa51a
1415d4ad196
15c49bd850
hex7d5dfe80

2103312000 has 256 divisors, whose sum is σ = 7217683200. Its totient is φ = 541184000.

The previous prime is 2103311957. The next prime is 2103312011. The reversal of 2103312000 is 2133012.

It is a happy number.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1391245 + ... + 1392755.

It is an arithmetic number, because the mean of its divisors is an integer number (28194075).

Almost surely, 22103312000 is an apocalyptic number.

2103312000 is a gapful number since it is divisible by the number (20) 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 2103312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3608841600).

2103312000 is an abundant number, since it is smaller than the sum of its proper divisors (5114371200).

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

2103312000 is a wasteful number, since it uses less digits than its factorization.

2103312000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1572 (or 1550 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 2103312000 is about 45861.8795951496. The cubic root of 2103312000 is about 1281.2520301376.

Adding to 2103312000 its reverse (2133012), we get a palindrome (2105445012).

It can be divided in two parts, 21033 and 12000, that added together give a palindrome (33033).

The spelling of 2103312000 in words is "two billion, one hundred three million, three hundred twelve thousand".