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2010203000 = 2353131011531
BaseRepresentation
bin111011111010001…
…0100001101111000
312012002112220002222
41313310110031320
513104102444000
6531245343212
7100546305101
oct16764241570
95162486088
102010203000
119417862a3
12481267b08
1326060a440
14150d933a8
15bb72aa85
hex77d14378

2010203000 has 128 divisors (see below), whose sum is σ = 5119208640. Its totient is φ = 734400000.

The previous prime is 2010202963. The next prime is 2010203003. The reversal of 2010203000 is 3020102.

It is a super-2 number, since 2×20102030002 = 8081832202418000000, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2010203003) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1312235 + ... + 1313765.

Almost surely, 22010203000 is an apocalyptic number.

2010203000 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 2010203000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2559604320).

2010203000 is an abundant number, since it is smaller than the sum of its proper divisors (3109005640).

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

2010203000 is a wasteful number, since it uses less digits than its factorization.

2010203000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1666 (or 1652 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 8.

The square root of 2010203000 is about 44835.2874419246. The cubic root of 2010203000 is about 1262.0599126170.

Adding to 2010203000 its reverse (3020102), we get a palindrome (2013223102).

The spelling of 2010203000 in words is "two billion, ten million, two hundred three thousand".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 101 104 125 130 200 202 250 260 325 404 500 505 520 650 808 1000 1010 1300 1313 1531 1625 2020 2525 2600 2626 3062 3250 4040 5050 5252 6124 6500 6565 7655 10100 10504 12248 12625 13000 13130 15310 19903 20200 25250 26260 30620 32825 38275 39806 50500 52520 61240 65650 76550 79612 99515 101000 131300 153100 154631 159224 164125 191375 199030 262600 306200 309262 328250 382750 398060 497575 618524 656500 765500 773155 796120 995150 1237048 1313000 1531000 1546310 1990300 2010203 2487875 3092620 3865775 3980600 4020406 4975750 6185240 7731550 8040812 9951500 10051015 15463100 16081624 19328875 19903000 20102030 30926200 38657750 40204060 50255075 77315500 80408120 100510150 154631000 201020300 251275375 402040600 502550750 1005101500 2010203000