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331030000020 = 2235191933150221
BaseRepresentation
bin1001101000100101110…
…11001111000110010100
31011122110001100100112010
410310102323033012110
520410422140000040
6412023441424220
732626142400606
oct4642273170624
91148401310463
10331030000020
11118430894615
12541a533b070
13252a6705b75
14120442a7176
158926942e80
hex4d12ecf194

331030000020 has 96 divisors (see below), whose sum is σ = 976178609280. Its totient is φ = 83584811520.

The previous prime is 331030000003. The next prime is 331030000111. The reversal of 331030000020 is 20000030133.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 331029999960 and 331030000005.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 2128510 + ... + 2278730.

It is an arithmetic number, because the mean of its divisors is an integer number (10168527180).

Almost surely, 2331030000020 is an apocalyptic number.

331030000020 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 331030000020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (488089304640).

331030000020 is an abundant number, since it is smaller than the sum of its proper divisors (645148609260).

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

331030000020 is a wasteful number, since it uses less digits than its factorization.

331030000020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152185 (or 152183 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 12.

Adding to 331030000020 its reverse (20000030133), we get a palindrome (351030030153).

The spelling of 331030000020 in words is "three hundred thirty-one billion, thirty million, twenty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 57 60 76 95 114 190 228 285 380 570 1140 1933 3866 5799 7732 9665 11598 19330 23196 28995 36727 38660 57990 73454 110181 115980 146908 150221 183635 220362 300442 367270 440724 450663 550905 600884 734540 751105 901326 1101810 1502210 1802652 2203620 2253315 2854199 3004420 4506630 5708398 8562597 9013260 11416796 14270995 17125194 28541990 34250388 42812985 57083980 85625970 171251940 290377193 580754386 871131579 1161508772 1451885965 1742263158 2903771930 3484526316 4355657895 5517166667 5807543860 8711315790 11034333334 16551500001 17422631580 22068666668 27585833335 33103000002 55171666670 66206000004 82757500005 110343333340 165515000010 331030000020