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2100300000 = 253557001
BaseRepresentation
bin111110100110000…
…0000100011100000
312102101002021221220
41331030000203200
513300134100000
6544224415040
7103022153421
oct17514004340
95371067856
102100300000
11988623527
124a7477480
13276194586
1415cd27648
15c45c61a0
hex7d3008e0

2100300000 has 144 divisors (see below), whose sum is σ = 6892152624. Its totient is φ = 560000000.

The previous prime is 2100299939. The next prime is 2100300001. The reversal of 2100300000 is 30012.

It is a super-2 number, since 2×21003000002 = 8822520180000000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2100300001) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 296500 + ... + 303500.

It is an arithmetic number, because the mean of its divisors is an integer number (47862171).

Almost surely, 22100300000 is an apocalyptic number.

2100300000 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 2100300000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3446076312).

2100300000 is an abundant number, since it is smaller than the sum of its proper divisors (4791852624).

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

2100300000 is an frugal number, since it uses more digits than its factorization.

2100300000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7039 (or 7011 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 6.

The square root of 2100300000 is about 45829.0301010178. The cubic root of 2100300000 is about 1280.6401420442.

Adding to 2100300000 its reverse (30012), we get a palindrome (2100330012).

The spelling of 2100300000 in words is "two billion, one hundred million, three hundred thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 125 150 160 200 240 250 300 375 400 480 500 600 625 750 800 1000 1200 1250 1500 1875 2000 2400 2500 3000 3125 3750 4000 5000 6000 6250 7001 7500 9375 10000 12000 12500 14002 15000 18750 20000 21003 25000 28004 30000 35005 37500 42006 50000 56008 60000 70010 75000 84012 100000 105015 112016 140020 150000 168024 175025 210030 224032 280040 300000 336048 350050 420060 525075 560080 672096 700100 840120 875125 1050150 1120160 1400200 1680240 1750250 2100300 2625375 2800400 3360480 3500500 4200600 4375625 5250750 5600800 7001000 8401200 8751250 10501500 13126875 14002000 16802400 17502500 21003000 21878125 26253750 28004000 35005000 42006000 43756250 52507500 65634375 70010000 84012000 87512500 105015000 131268750 140020000 175025000 210030000 262537500 350050000 420060000 525075000 700100000 1050150000 2100300000