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2102030000 = 2454730029
BaseRepresentation
bin111110101001010…
…0110111010110000
312102111100012001222
41331102212322300
513301104430000
6544325444212
7103042650230
oct17522467260
95374305058
102102030000
119895a5284
124a7b70668
1327664bb45
1415d257cc0
15c4818a85
hex7d4a6eb0

2102030000 has 100 divisors (see below), whose sum is σ = 5816450640. Its totient is φ = 720672000.

The previous prime is 2102029999. The next prime is 2102030003. The reversal of 2102030000 is 302012.

It is a tau number, because it is divible by the number of its divisors (100).

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a self number, because there is not a number n which added to its sum of digits gives 2102030000.

It is not an unprimeable number, because it can be changed into a prime (2102030003) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 54986 + ... + 85014.

Almost surely, 22102030000 is an apocalyptic number.

2102030000 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 2102030000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2908225320).

2102030000 is an abundant number, since it is smaller than the sum of its proper divisors (3714420640).

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

2102030000 is an equidigital number, since it uses as much as digits as its factorization.

2102030000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30064 (or 30043 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 8.

The square root of 2102030000 is about 45847.9007152999. The cubic root of 2102030000 is about 1280.9916631642.

Adding to 2102030000 its reverse (302012), we get a palindrome (2102332012).

The spelling of 2102030000 in words is "two billion, one hundred two million, thirty thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 50 56 70 80 100 112 125 140 175 200 250 280 350 400 500 560 625 700 875 1000 1250 1400 1750 2000 2500 2800 3500 4375 5000 7000 8750 10000 14000 17500 30029 35000 60058 70000 120116 150145 210203 240232 300290 420406 480464 600580 750725 840812 1051015 1201160 1501450 1681624 2102030 2402320 3002900 3363248 3753625 4204060 5255075 6005800 7507250 8408120 10510150 12011600 15014500 16816240 18768125 21020300 26275375 30029000 37536250 42040600 52550750 60058000 75072500 84081200 105101500 131376875 150145000 210203000 262753750 300290000 420406000 525507500 1051015000 2102030000