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2000301300 = 2232522279791
BaseRepresentation
bin111011100111010…
…0010110011110100
312011101220211112100
41313032202303310
513044034120200
6530253222100
7100366165134
oct16716426364
95141824470
102000301300
11937132a78
12479a91930
1325b55154a
1414d936ac4
15ba921d00
hex773a2cf4

2000301300 has 108 divisors (see below), whose sum is σ = 6298096896. Its totient is φ = 531009600.

The previous prime is 2000301293. The next prime is 2000301337. The reversal of 2000301300 is 31030002.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 199405 + ... + 209195.

It is an arithmetic number, because the mean of its divisors is an integer number (58315712).

Almost surely, 22000301300 is an apocalyptic number.

2000301300 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 2000301300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3149048448).

2000301300 is an abundant number, since it is smaller than the sum of its proper divisors (4297795596).

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

2000301300 is a wasteful number, since it uses less digits than its factorization.

2000301300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10038 (or 10028 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 9.

The square root of 2000301300 is about 44724.7280595422. The cubic root of 2000301300 is about 1259.9843157534.

Adding to 2000301300 its reverse (31030002), we get a palindrome (2031331302).

The spelling of 2000301300 in words is "two billion, three hundred one thousand, three hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 227 300 450 454 681 900 908 1135 1362 2043 2270 2724 3405 4086 4540 5675 6810 8172 9791 10215 11350 13620 17025 19582 20430 22700 29373 34050 39164 40860 48955 51075 58746 68100 88119 97910 102150 117492 146865 176238 195820 204300 244775 293730 352476 440595 489550 587460 734325 881190 979100 1468650 1762380 2202975 2222557 2937300 4405950 4445114 6667671 8811900 8890228 11112785 13335342 20003013 22225570 26670684 33338355 40006026 44451140 55563925 66676710 80012052 100015065 111127850 133353420 166691775 200030130 222255700 333383550 400060260 500075325 666767100 1000150650 2000301300