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2010201144 = 233719516133
BaseRepresentation
bin111011111010001…
…0011110000111000
312012002112210120020
41313310103300320
513104102414034
6531245330440
7100546266510
oct16764236070
95162483506
102010201144
11941784966
12481266a20
13260609643
14150d92840
15bb72a249
hex77d13c38

2010201144 has 64 divisors (see below), whose sum is σ = 5747312640. Its totient is φ = 573955200.

The previous prime is 2010201143. The next prime is 2010201239. The reversal of 2010201144 is 4411020102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2010201143) 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 15 ways as a sum of consecutive naturals, for example, 324702 + ... + 330834.

It is an arithmetic number, because the mean of its divisors is an integer number (89801760).

Almost surely, 22010201144 is an apocalyptic number.

2010201144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2010201144 is an abundant number, since it is smaller than the sum of its proper divisors (3737111496).

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

2010201144 is a wasteful number, since it uses less digits than its factorization.

2010201144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8100 (or 8096 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 2010201144 is about 44835.2667439372. The cubic root of 2010201144 is about 1262.0595242012.

Adding to 2010201144 its reverse (4411020102), we get a palindrome (6421221246).

The spelling of 2010201144 in words is "two billion, ten million, two hundred one thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 1951 3902 5853 6133 7804 11706 12266 13657 15608 18399 23412 24532 27314 36798 40971 42931 46824 49064 54628 73596 81942 85862 109256 128793 147192 163884 171724 257586 327768 343448 515172 1030344 11965483 23930966 35896449 47861932 71792898 83758381 95723864 143585796 167516762 251275143 287171592 335033524 502550286 670067048 1005100572 2010201144