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331110242011133 = 131019111987139313
BaseRepresentation
bin100101101001001001001110…
…0010110110100011111111101
31121102100211102001212012001122
41023102102130112310133331
5321344402233423324013
63132113540102520325
7126512632315435514
oct11322223426643775
91542324361765048
10331110242011133
1196558079653082
12311774721360a5
131129a73c4b2b40
145ba9b6d60967b
152842e0d34da08
hex12d249c5b47fd

331110242011133 has 32 divisors (see below), whose sum is σ = 360690071357952. Its totient is φ = 302127606144000.

The previous prime is 331110242011123. The next prime is 331110242011169.

331110242011133 is nontrivially palindromic in base 10.

It is a de Polignac number, because none of the positive numbers 2k-331110242011133 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (331110242011123) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2376666485 + ... + 2376805797.

It is an arithmetic number, because the mean of its divisors is an integer number (11271564729936).

Almost surely, 2331110242011133 is an apocalyptic number.

It is an amenable number.

331110242011133 is a deficient number, since it is larger than the sum of its proper divisors (29579829346819).

331110242011133 is a wasteful number, since it uses less digits than its factorization.

331110242011133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142325.

The product of its (nonzero) digits is 1296, while the sum is 26.

The spelling of 331110242011133 in words is "three hundred thirty-one trillion, one hundred ten billion, two hundred forty-two million, eleven thousand, one hundred thirty-three".

Divisors: 1 13 101 911 1313 1987 11843 25831 92011 139313 200687 1196143 1810157 1811069 2608931 14070613 23532041 126914143 182825857 182917969 276814931 1649883859 2376736141 3598594103 12818328443 27958308031 166638269759 252178402141 363458004403 3278319227833 25470018616241 331110242011133