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2100200300 = 2252112965837
BaseRepresentation
bin111110100101110…
…1000001101101100
312102100220020012022
41331023220031230
513300122402200
6544222325312
7103021256642
oct17513501554
95370806168
102100200300
11988565630
124a7429838
1327615b093
1415ccdd192
15c45a6885
hex7d2e836c

2100200300 has 72 divisors (see below), whose sum is σ = 5143264560. Its totient is φ = 737363200.

The previous prime is 2100200299. The next prime is 2100200303. The reversal of 2100200300 is 30020012.

It is not an unprimeable number, because it can be changed into a prime (2100200303) 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 23 ways as a sum of consecutive naturals, for example, 1019 + ... + 64818.

It is an arithmetic number, because the mean of its divisors is an integer number (71434230).

Almost surely, 22100200300 is an apocalyptic number.

2100200300 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 2100200300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2571632280).

2100200300 is an abundant number, since it is smaller than the sum of its proper divisors (3043064260).

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

2100200300 is a wasteful number, since it uses less digits than its factorization.

2100200300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65891 (or 65884 counting only the distinct ones).

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

The square root of 2100200300 is about 45827.9423496190. The cubic root of 2100200300 is about 1280.6198779799.

Adding to 2100200300 its reverse (30020012), we get a palindrome (2130220312).

The spelling of 2100200300 in words is "two billion, one hundred million, two hundred thousand, three hundred".

Divisors: 1 2 4 5 10 11 20 22 25 29 44 50 55 58 100 110 116 145 220 275 290 319 550 580 638 725 1100 1276 1450 1595 2900 3190 6380 7975 15950 31900 65837 131674 263348 329185 658370 724207 1316740 1448414 1645925 1909273 2896828 3291850 3621035 3818546 6583700 7242070 7637092 9546365 14484140 18105175 19092730 21002003 36210350 38185460 42004006 47731825 72420700 84008012 95463650 105010015 190927300 210020030 420040060 525050075 1050100150 2100200300