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2013123343230 = 23251719106964781
BaseRepresentation
bin11101010010110111100…
…000000111001101111110
321010110020000201202112100
4131102313200013031332
5230440334033440410
64140452135445530
7265305034036656
oct35226740071576
97113200652470
102013123343230
1170684071089a
122861a6b268a6
13117ab536091c
146d615765366
15375751958c0
hex1d4b780737e

2013123343230 has 192 divisors, whose sum is σ = 5839242177600. Its totient is φ = 478206996480.

The previous prime is 2013123343199. The next prime is 2013123343237. The reversal of 2013123343230 is 323433213102.

2013123343230 is a `hidden beast` number, since 2 + 0 + 1 + 3 + 1 + 2 + 334 + 323 + 0 = 666.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 2013123343194 and 2013123343203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2013123343237) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 31043440 + ... + 31108220.

It is an arithmetic number, because the mean of its divisors is an integer number (30412719675).

Almost surely, 22013123343230 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2013123343230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2919621088800).

2013123343230 is an abundant number, since it is smaller than the sum of its proper divisors (3826118834370).

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

2013123343230 is a wasteful number, since it uses less digits than its factorization.

2013123343230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65899 (or 65896 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 2013123343230 its reverse (323433213102), we get a palindrome (2336556556332).

The spelling of 2013123343230 in words is "two trillion, thirteen billion, one hundred twenty-three million, three hundred forty-three thousand, two hundred thirty".