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2013144200 = 235210065721
BaseRepresentation
bin111011111111110…
…0010010010001000
312012022002022200022
41313333202102020
513110331103300
6531432400012
7100613305034
oct16777422210
95168068608
102013144200
11943405041
12482246008
132610ca0b2
1415151b1c4
15bbb0c285
hex77fe2488

2013144200 has 24 divisors (see below), whose sum is σ = 4680560730. Its totient is φ = 805257600.

The previous prime is 2013144197. The next prime is 2013144223. The reversal of 2013144200 is 24413102.

It can be written as a sum of positive squares in 3 ways, for example, as 1396217956 + 616926244 = 37366^2 + 24838^2 .

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 5 ways as a sum of consecutive naturals, for example, 5032661 + ... + 5033060.

Almost surely, 22013144200 is an apocalyptic number.

2013144200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2013144200 is an abundant number, since it is smaller than the sum of its proper divisors (2667416530).

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

2013144200 is a wasteful number, since it uses less digits than its factorization.

2013144200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10065737 (or 10065728 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 2013144200 is about 44868.0755103225. The cubic root of 2013144200 is about 1262.6751343488.

Adding to 2013144200 its reverse (24413102), we get a palindrome (2037557302).

The spelling of 2013144200 in words is "two billion, thirteen million, one hundred forty-four thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 10065721 20131442 40262884 50328605 80525768 100657210 201314420 251643025 402628840 503286050 1006572100 2013144200