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331300302320 = 24513719443057
BaseRepresentation
bin1001101001000110000…
…10010110110111110000
31011200010212222010120102
410310203002112313300
520412000334133240
6412110335131532
732635634051141
oct4644302266760
91150125863512
10331300302320
1111855a424749
125425b973ba8
132531a706460
141206c149ac8
158940537815
hex4d23096df0

331300302320 has 80 divisors (see below), whose sum is σ = 830680583040. Its totient is φ = 122155855872.

The previous prime is 331300302293. The next prime is 331300302371. The reversal of 331300302320 is 23203003133.

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

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 = 331300302292 and 331300302301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 526232 + ... + 969288.

It is an arithmetic number, because the mean of its divisors is an integer number (10383507288).

Almost surely, 2331300302320 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 331300302320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (415340291520).

331300302320 is an abundant number, since it is smaller than the sum of its proper divisors (499380280720).

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

331300302320 is a wasteful number, since it uses less digits than its factorization.

331300302320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 443802 (or 443796 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 20.

Adding to 331300302320 its reverse (23203003133), we get a palindrome (354503305453).

The spelling of 331300302320 in words is "three hundred thirty-one billion, three hundred million, three hundred two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 260 520 719 1040 1438 2876 3595 5752 7190 9347 11504 14380 18694 28760 37388 46735 57520 74776 93470 149552 186940 373880 443057 747760 886114 1772228 2215285 3544456 4430570 5759741 7088912 8861140 11519482 17722280 23038964 28798705 35444560 46077928 57597410 92155856 115194820 230389640 318557983 460779280 637115966 1274231932 1592789915 2548463864 3185579830 4141253779 5096927728 6371159660 8282507558 12742319320 16565015116 20706268895 25484638640 33130030232 41412537790 66260060464 82825075580 165650151160 331300302320