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331121220320223 = 33169961331176947
BaseRepresentation
bin100101101001001110010101…
…0101101101111101111011111
31121102101212202011111001222000
41023102130222231233233133
5321400042224400221343
63132122553314053343
7126513501342510534
oct11322345255575737
91542355664431860
10331121220320223
11965617a26161a3
123117961687a253
131129b79ba84518
145baa4d1670d8b
152843352055ed3
hex12d272ab6fbdf

331121220320223 has 32 divisors (see below), whose sum is σ = 490919134176000. Its totient is φ = 220581392699808.

The previous prime is 331121220320159. The next prime is 331121220320251. The reversal of 331121220320223 is 322023022121133.

331121220320223 is a `hidden beast` number, since 3 + 3 + 1 + 1 + 212 + 203 + 20 + 223 = 666.

It is not a de Polignac number, because 331121220320223 - 26 = 331121220320159 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (331121220320323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 280750636 + ... + 281927582.

It is an arithmetic number, because the mean of its divisors is an integer number (15341222943000).

Almost surely, 2331121220320223 is an apocalyptic number.

331121220320223 is a deficient number, since it is larger than the sum of its proper divisors (159797913855777).

331121220320223 is a wasteful number, since it uses less digits than its factorization.

331121220320223 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1184788 (or 1184782 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 331121220320223 its reverse (322023022121133), we get a palindrome (653144242441356).

The spelling of 331121220320223 in words is "three hundred thirty-one trillion, one hundred twenty-one billion, two hundred twenty million, three hundred twenty thousand, two hundred twenty-three".

Divisors: 1 3 9 27 1699 5097 6133 15291 18399 45873 55197 165591 1176947 3530841 10419967 10592523 31259901 31777569 93779703 281339109 1999632953 5998898859 7218215951 17996696577 21654647853 53990089731 64963943559 194891830677 12263748900749 36791246702247 110373740106741 331121220320223