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331121201303004 = 22373690711647217
BaseRepresentation
bin100101101001001110010100…
…1100101001100110111011100
31121102101212200211200220020120
41023102130221211030313130
5321400042210013144004
63132122551354314540
7126513501022044000
oct11322345145146734
91542355624626216
10331121201303004
1196561792907292
1231179610428a50
131129b797b56528
145baa4ccd20700
15284335054b3d9
hex12d272994cddc

331121201303004 has 96 divisors (see below), whose sum is σ = 901140597772800. Its totient is φ = 94592352266496.

The previous prime is 331121201302993. The next prime is 331121201303023. The reversal of 331121201303004 is 400303102121133.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22605604 + ... + 34252820.

It is an arithmetic number, because the mean of its divisors is an integer number (9386881226800).

Almost surely, 2331121201303004 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 331121201303004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (450570298886400).

331121201303004 is an abundant number, since it is smaller than the sum of its proper divisors (570019396469796).

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

331121201303004 is a wasteful number, since it uses less digits than its factorization.

331121201303004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11654152 (or 11654136 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 331121201303004 its reverse (400303102121133), we get a palindrome (731424303424137).

The spelling of 331121201303004 in words is "three hundred thirty-one trillion, one hundred twenty-one billion, two hundred one million, three hundred three thousand, four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 84 98 147 196 294 343 588 686 1029 1372 2058 4116 6907 13814 20721 27628 41442 48349 82884 96698 145047 193396 290094 338443 580188 676886 1015329 1353772 2030658 2369101 4061316 4738202 7107303 9476404 11647217 14214606 23294434 28429212 34941651 46588868 69883302 81530519 139766604 163061038 244591557 326122076 489183114 570713633 978366228 1141427266 1712140899 2282854532 3424281798 3994995431 6848563596 7989990862 11984986293 15979981724 23969972586 47939945172 80447327819 160894655638 241341983457 321789311276 482683966914 563131294733 965367933828 1126262589466 1689393884199 2252525178932 3378787768398 3941919063131 6757575536796 7883838126262 11825757189393 15767676252524 23651514378786 27593433441917 47303028757572 55186866883834 82780300325751 110373733767668 165560600651502 331121201303004