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331303123120 = 24519317031051
BaseRepresentation
bin1001101001000110011…
…01000111100010110000
31011200011002021102222111
410310203031013202300
520412002044414440
6412110515415104
732636000040064
oct4644315074260
91150132242874
10331303123120
11118560a80a92
12542608b4494
132531b183378
141206c681aa4
1589408e34ea
hex4d233478b0

331303123120 has 80 divisors (see below), whose sum is σ = 836976430080. Its totient is φ = 121496544000.

The previous prime is 331303123091. The next prime is 331303123121. The reversal of 331303123120 is 21321303133.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 331303123091 and 331303123100.

It is not an unprimeable number, because it can be changed into a prime (331303123121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3468406 + ... + 3562645.

It is an arithmetic number, because the mean of its divisors is an integer number (10462205376).

Almost surely, 2331303123120 is an apocalyptic number.

It is an amenable number.

331303123120 is an abundant number, since it is smaller than the sum of its proper divisors (505673306960).

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

331303123120 is a wasteful number, since it uses less digits than its factorization.

331303123120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7031114 (or 7031108 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 22.

Adding to 331303123120 its reverse (21321303133), we get a palindrome (352624426253).

The spelling of 331303123120 in words is "three hundred thirty-one billion, three hundred three million, one hundred twenty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 19 20 31 38 40 62 76 80 95 124 152 155 190 248 304 310 380 496 589 620 760 1178 1240 1520 2356 2480 2945 4712 5890 9424 11780 23560 47120 7031051 14062102 28124204 35155255 56248408 70310510 112496816 133589969 140621020 217962581 267179938 281242040 435925162 534359876 562484080 667949845 871850324 1068719752 1089812905 1335899690 1743700648 2137439504 2179625810 2671799380 3487401296 4141289039 4359251620 5343598760 8282578078 8718503240 10687197520 16565156156 17437006480 20706445195 33130312312 41412890390 66260624624 82825780780 165651561560 331303123120