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2010133000 = 235331611063
BaseRepresentation
bin111011111010000…
…0011001000001000
312012002102100002101
41313310003020020
513104043224000
6531244043144
7100545564031
oct16764031010
95162370071
102010133000
11941738747
124812334b4
132605b4615
14150d75a88
15bb714e6a
hex77d03208

2010133000 has 128 divisors (see below), whose sum is σ = 4939683840. Its totient is φ = 764640000.

The previous prime is 2010132991. The next prime is 2010133051. The reversal of 2010133000 is 3310102.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1890469 + ... + 1891531.

It is an arithmetic number, because the mean of its divisors is an integer number (38591280).

Almost surely, 22010133000 is an apocalyptic number.

2010133000 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 2010133000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2469841920).

2010133000 is an abundant number, since it is smaller than the sum of its proper divisors (2929550840).

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

2010133000 is a wasteful number, since it uses less digits than its factorization.

2010133000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1176 (or 1162 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 10.

The square root of 2010133000 is about 44834.5068000084. The cubic root of 2010133000 is about 1262.0452631480.

Adding to 2010133000 its reverse (3310102), we get a palindrome (2013443102).

The spelling of 2010133000 in words is "two billion, ten million, one hundred thirty-three thousand".

Divisors: 1 2 4 5 8 10 20 25 31 40 50 61 62 100 122 124 125 155 200 244 248 250 305 310 488 500 610 620 775 1000 1063 1220 1240 1525 1550 1891 2126 2440 3050 3100 3782 3875 4252 5315 6100 6200 7564 7625 7750 8504 9455 10630 12200 15128 15250 15500 18910 21260 26575 30500 31000 32953 37820 42520 47275 53150 61000 64843 65906 75640 94550 106300 129686 131812 132875 164765 189100 212600 236375 259372 263624 265750 324215 329530 378200 472750 518744 531500 648430 659060 823825 945500 1063000 1296860 1318120 1621075 1647650 1891000 2010133 2593720 3242150 3295300 4020266 4119125 6484300 6590600 8040532 8105375 8238250 10050665 12968600 16081064 16210750 16476500 20101330 32421500 32953000 40202660 50253325 64843000 80405320 100506650 201013300 251266625 402026600 502533250 1005066500 2010133000