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2010442504340 = 225180155814617
BaseRepresentation
bin11101010000010111101…
…101100001100010010100
321010012022012021000221002
4131100113231201202110
5230414341240114330
64135330132042432
7265151432220104
oct35202755414224
97105265230832
102010442504340
11705695421966
12285779163418
13117778b2581a
146d43d6bd204
1537469b47e45
hex1d417b61894

2010442504340 has 24 divisors (see below), whose sum is σ = 4224273548712. Its totient is φ = 803730470400.

The previous prime is 2010442504339. The next prime is 2010442504397. The reversal of 2010442504340 is 434052440102.

It can be written as a sum of positive squares in 4 ways, for example, as 7928833936 + 2002513670404 = 89044^2 + 1415102^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27871289 + ... + 27943328.

It is an arithmetic number, because the mean of its divisors is an integer number (176011397863).

Almost surely, 22010442504340 is an apocalyptic number.

2010442504340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2010442504340 is an abundant number, since it is smaller than the sum of its proper divisors (2213831044372).

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

2010442504340 is a wasteful number, since it uses less digits than its factorization.

2010442504340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55816427 (or 55816425 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 29.

Adding to 2010442504340 its reverse (434052440102), we get a palindrome (2444494944442).

The spelling of 2010442504340 in words is "two trillion, ten billion, four hundred forty-two million, five hundred four thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 1801 3602 7204 9005 18010 36020 55814617 111629234 223258468 279073085 558146170 1116292340 100522125217 201044250434 402088500868 502610626085 1005221252170 2010442504340