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331123310120 = 23537976928403
BaseRepresentation
bin1001101000110000111…
…11001011111000101000
31011122200112220222220202
410310120133023320220
520411120031410440
6412041013411332
732631354460661
oct4643037137050
91148615828822
10331123310120
111184795268a9
1254210639b48
13252bcb46645
1412052836368
15892ec25615
hex4d187cbe28

331123310120 has 64 divisors (see below), whose sum is σ = 747990936000. Its totient is φ = 131923427328.

The previous prime is 331123310099. The next prime is 331123310123. The reversal of 331123310120 is 21013321133.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 331123310092 and 331123310101.

It is not an unprimeable number, because it can be changed into a prime (331123310123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11643839 + ... + 11672241.

It is an arithmetic number, because the mean of its divisors is an integer number (11687358375).

Almost surely, 2331123310120 is an apocalyptic number.

It is an amenable number.

331123310120 is an abundant number, since it is smaller than the sum of its proper divisors (416867625880).

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

331123310120 is a wasteful number, since it uses less digits than its factorization.

331123310120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29562 (or 29558 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 331123310120 its reverse (21013321133), we get a palindrome (352136631253).

The spelling of 331123310120 in words is "three hundred thirty-one billion, one hundred twenty-three million, three hundred ten thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 379 758 769 1516 1538 1895 3032 3076 3790 3845 6152 7580 7690 15160 15380 28403 30760 56806 113612 142015 227224 284030 291451 568060 582902 1136120 1165804 1457255 2331608 2914510 5829020 10764737 11658040 21529474 21841907 43058948 43683814 53823685 86117896 87367628 107647370 109209535 174735256 215294740 218419070 430589480 436838140 873676280 8278082753 16556165506 33112331012 41390413765 66224662024 82780827530 165561655060 331123310120