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2010202020 = 2232553210713
BaseRepresentation
bin111011111010001…
…0011111110100100
312012002112211202200
41313310103332210
513104102431040
6531245334500
7100546302201
oct16764237644
95162484680
102010202020
11941785592
12481267430
13260609b68
14150d92ca8
15bb72a630
hex77d13fa4

2010202020 has 72 divisors (see below), whose sum is σ = 6212691576. Its totient is φ = 525937152.

The previous prime is 2010202013. The next prime is 2010202021. The reversal of 2010202020 is 202020102.

It can be written as a sum of positive squares in 4 ways, for example, as 8892324 + 2001309696 = 2982^2 + 44736^2 .

It is a super-3 number, since 3×20102020203 (a number of 29 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is a junction number, because it is equal to n+sod(n) for n = 2010201993 and 2010202011.

It is not an unprimeable number, because it can be changed into a prime (2010202021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 95817 + ... + 114896.

It is an arithmetic number, because the mean of its divisors is an integer number (86287383).

Almost surely, 22010202020 is an apocalyptic number.

2010202020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2010202020 is an abundant number, since it is smaller than the sum of its proper divisors (4202489556).

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

2010202020 is a wasteful number, since it uses less digits than its factorization.

2010202020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210781 (or 210776 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

The square root of 2010202020 is about 44835.2765130316. The cubic root of 2010202020 is about 1262.0597075268.

Adding to 2010202020 its reverse (202020102), we get a palindrome (2212222122).

The spelling of 2010202020 in words is "two billion, ten million, two hundred two thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 53 60 90 106 159 180 212 265 318 477 530 636 795 954 1060 1590 1908 2385 3180 4770 9540 210713 421426 632139 842852 1053565 1264278 1896417 2107130 2528556 3160695 3792834 4214260 6321390 7585668 9482085 11167789 12642780 18964170 22335578 33503367 37928340 44671156 55838945 67006734 100510101 111677890 134013468 167516835 201020202 223355780 335033670 402040404 502550505 670067340 1005101010 2010202020