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2100300320 = 25579891867
BaseRepresentation
bin111110100110000…
…0000101000100000
312102101002022101202
41331030000220200
513300134102240
6544224420332
7103022154356
oct17514005040
95371068352
102100300320
11988623798
124a74776a8
13276194771
1415cd277d6
15c45c6315
hex7d300a20

2100300320 has 96 divisors (see below), whose sum is σ = 5083948800. Its totient is φ = 819726336.

The previous prime is 2100300287. The next prime is 2100300329. The reversal of 2100300320 is 230030012.

It is a super-2 number, since 2×21003003202 = 8822522868384204800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2100300329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1124027 + ... + 1125893.

It is an arithmetic number, because the mean of its divisors is an integer number (52957800).

Almost surely, 22100300320 is an apocalyptic number.

2100300320 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 2100300320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2541974400).

2100300320 is an abundant number, since it is smaller than the sum of its proper divisors (2983648480).

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

2100300320 is a wasteful number, since it uses less digits than its factorization.

2100300320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2050 (or 2042 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 11.

The square root of 2100300320 is about 45829.0335922546. The cubic root of 2100300320 is about 1280.6402070832.

Adding to 2100300320 its reverse (230030012), we get a palindrome (2330330332).

The spelling of 2100300320 in words is "two billion, one hundred million, three hundred thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 79 80 89 158 160 178 316 356 395 445 632 712 790 890 1264 1424 1580 1780 1867 2528 2848 3160 3560 3734 6320 7031 7120 7468 9335 12640 14062 14240 14936 18670 28124 29872 35155 37340 56248 59744 70310 74680 112496 140620 147493 149360 166163 224992 281240 294986 298720 332326 562480 589972 664652 737465 830815 1124960 1179944 1329304 1474930 1661630 2359888 2658608 2949860 3323260 4719776 5317216 5899720 6646520 11799440 13126877 13293040 23598880 26253754 26586080 52507508 65634385 105015016 131268770 210030032 262537540 420060064 525075080 1050150160 2100300320