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331121330221230 = 232531311754395819
BaseRepresentation
bin100101101001001110011000…
…1010000111111000010101110
31121102101220000211021121210200
41023102130301100333002232
5321400042441014034410
63132123012241414330
7126513504145610613
oct11322346120770256
91542356024247720
10331121330221230
119656184965a47a
123117964763a3a6
131129b7b87837c3
145baa5020bc50a
15284335ba143c0
hex12d273143f0ae

331121330221230 has 48 divisors (see below), whose sum is σ = 863665987270320. Its totient is φ = 88016915885184.

The previous prime is 331121330221163. The next prime is 331121330221271. The reversal of 331121330221230 is 32122033121133.

331121330221230 is a `hidden beast` number, since 3 + 3 + 1 + 121 + 3 + 302 + 2 + 1 + 230 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 331121330221194 and 331121330221203.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5877169740 + ... + 5877226079.

It is an arithmetic number, because the mean of its divisors is an integer number (17993041401465).

Almost surely, 2331121330221230 is an apocalyptic number.

331121330221230 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

331121330221230 is an abundant number, since it is smaller than the sum of its proper divisors (532544657049090).

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

331121330221230 is a wasteful number, since it uses less digits than its factorization.

331121330221230 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11754396145 (or 11754396142 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 331121330221230 its reverse (32122033121133), we get a palindrome (363243363342363).

The spelling of 331121330221230 in words is "three hundred thirty-one trillion, one hundred twenty-one billion, three hundred thirty million, two hundred twenty-one thousand, two hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 313 626 939 1565 1878 2817 3130 4695 5634 9390 14085 28170 11754395819 23508791638 35263187457 58771979095 70526374914 105789562371 117543958190 176315937285 211579124742 352631874570 528947811855 1057895623710 3679125891347 7358251782694 11037377674041 18395629456735 22074755348082 33112133022123 36791258913470 55186888370205 66224266044246 110373776740410 165560665110615 331121330221230