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2012201040 = 243510976919
BaseRepresentation
bin111011111101111…
…1100000001010000
312012020022101220110
41313323330001100
513110110413130
6531400241320
7100602266223
oct16773740120
95166271813
102012201040
11942920473
12481a70240
13260b59a05
141513535ba
15bb9c2ab0
hex77efc050

2012201040 has 80 divisors (see below), whose sum is σ = 6295132800. Its totient is φ = 531657216.

The previous prime is 2012200973. The next prime is 2012201071. The reversal of 2012201040 is 401022102.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (12).

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 15 ways as a sum of consecutive naturals, for example, 12300 + ... + 64619.

It is an arithmetic number, because the mean of its divisors is an integer number (78689160).

Almost surely, 22012201040 is an apocalyptic number.

2012201040 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 2012201040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3147566400).

2012201040 is an abundant number, since it is smaller than the sum of its proper divisors (4282931760).

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

2012201040 is a wasteful number, since it uses less digits than its factorization.

2012201040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77044 (or 77038 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 2012201040 is about 44857.5639106717. The cubic root of 2012201040 is about 1262.4779153736.

Adding to 2012201040 its reverse (401022102), we get a palindrome (2413223142).

The spelling of 2012201040 in words is "two billion, twelve million, two hundred one thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 109 120 218 240 327 436 545 654 872 1090 1308 1635 1744 2180 2616 3270 4360 5232 6540 8720 13080 26160 76919 153838 230757 307676 384595 461514 615352 769190 923028 1153785 1230704 1538380 1846056 2307570 3076760 3692112 4615140 6153520 8384171 9230280 16768342 18460560 25152513 33536684 41920855 50305026 67073368 83841710 100610052 125762565 134146736 167683420 201220104 251525130 335366840 402440208 503050260 670733680 1006100520 2012201040