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2010201200 = 245273123159
BaseRepresentation
bin111011111010001…
…0011110001110000
312012002112210122022
41313310103301300
513104102414300
6531245331012
7100546266620
oct16764236160
95162483568
102010201200
11941784a07
12481266a68
13260609687
14150d92880
15bb72a285
hex77d13c70

2010201200 has 120 divisors (see below), whose sum is σ = 5697730560. Its totient is φ = 666950400.

The previous prime is 2010201143. The next prime is 2010201239. The reversal of 2010201200 is 21020102.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a congruent number.

It is an unprimeable number.

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, 75221 + ... + 98379.

It is an arithmetic number, because the mean of its divisors is an integer number (47481088).

Almost surely, 22010201200 is an apocalyptic number.

2010201200 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 2010201200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2848865280).

2010201200 is an abundant number, since it is smaller than the sum of its proper divisors (3687529360).

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

2010201200 is a wasteful number, since it uses less digits than its factorization.

2010201200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23215 (or 23204 counting only the distinct ones).

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

The square root of 2010201200 is about 44835.2673684456. The cubic root of 2010201200 is about 1262.0595359206.

Adding to 2010201200 its reverse (21020102), we get a palindrome (2031221302).

The spelling of 2010201200 in words is "two billion, ten million, two hundred one thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 31 35 40 50 56 62 70 80 100 112 124 140 155 175 200 217 248 280 310 350 400 434 496 560 620 700 775 868 1085 1240 1400 1550 1736 2170 2480 2800 3100 3472 4340 5425 6200 8680 10850 12400 17360 21700 23159 43400 46318 86800 92636 115795 162113 185272 231590 324226 370544 463180 578975 648452 717929 810565 926360 1157950 1296904 1435858 1621130 1852720 2315900 2593808 2871716 3242260 3589645 4052825 4631800 5025503 5743432 6484520 7179290 8105650 9263600 10051006 11486864 12969040 14358580 16211300 17948225 20102012 25127515 28717160 32422600 35896450 40204024 50255030 57434320 64845200 71792900 80408048 100510060 125637575 143585800 201020120 251275150 287171600 402040240 502550300 1005100600 2010201200