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2000102020 = 2257173127109
BaseRepresentation
bin111011100110111…
…0010001010000100
312011101112201011121
41313031302022010
513044011231040
6530245043324
7100364405140
oct16715621204
95141481147
102000102020
11937007284
124799b6544
1325b4b1927
1414d8c4220
15ba8d2c4a
hex77372284

2000102020 has 96 divisors (see below), whose sum is σ = 5246760960. Its totient is φ = 624568320.

The previous prime is 2000102017. The next prime is 2000102033. The reversal of 2000102020 is 202010002.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (7).

It is a junction number, because it is equal to n+sod(n) for n = 2000101994 and 2000102012.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 60226 + ... + 87334.

It is an arithmetic number, because the mean of its divisors is an integer number (54653760).

Almost surely, 22000102020 is an apocalyptic number.

2000102020 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 2000102020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2623380480).

2000102020 is an abundant number, since it is smaller than the sum of its proper divisors (3246658940).

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

2000102020 is a wasteful number, since it uses less digits than its factorization.

2000102020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27173 (or 27171 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 7.

The square root of 2000102020 is about 44722.5001537258. The cubic root of 2000102020 is about 1259.9424723882.

Adding to 2000102020 its reverse (202010002), we get a palindrome (2202112022).

The spelling of 2000102020 in words is "two billion, one hundred two thousand, twenty".

Divisors: 1 2 4 5 7 10 14 17 20 28 31 34 35 62 68 70 85 119 124 140 155 170 217 238 310 340 434 476 527 595 620 868 1054 1085 1190 2108 2170 2380 2635 3689 4340 5270 7378 10540 14756 18445 27109 36890 54218 73780 108436 135545 189763 271090 379526 460853 542180 759052 840379 921706 948815 1680758 1843412 1897630 2304265 3225971 3361516 3795260 4201895 4608530 5882653 6451942 8403790 9217060 11765306 12903884 14286443 16129855 16807580 23530612 28572886 29413265 32259710 57145772 58826530 64519420 71432215 100005101 117653060 142864430 200010202 285728860 400020404 500025505 1000051010 2000102020