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331310100220 = 225112277698627
BaseRepresentation
bin1001101001000111001…
…11101110111011111100
31011200011120101220202121
410310203213232323330
520412010341201340
6412111325132324
732636113246351
oct4644347567374
91150146356677
10331310100220
11118564a06a90
12542630ba0a4
132531c757028
141206d57a628
15894132094a
hex4d239eeefc

331310100220 has 96 divisors (see below), whose sum is σ = 763424766720. Its totient is φ = 119775805440.

The previous prime is 331310100203. The next prime is 331310100307. The reversal of 331310100220 is 22001013133.

It is a junction number, because it is equal to n+sod(n) for n = 331310100194 and 331310100203.

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, 38399547 + ... + 38408173.

It is an arithmetic number, because the mean of its divisors is an integer number (7952341320).

Almost surely, 2331310100220 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 331310100220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (381712383360).

331310100220 is an abundant number, since it is smaller than the sum of its proper divisors (432114666500).

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

331310100220 is a wasteful number, since it uses less digits than its factorization.

331310100220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9643 (or 9641 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 331310100220 its reverse (22001013133), we get a palindrome (353311113353).

The spelling of 331310100220 in words is "three hundred thirty-one billion, three hundred ten million, one hundred thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 227 454 769 908 1135 1538 2270 2497 3076 3845 4540 4994 7690 8459 8627 9988 12485 15380 16918 17254 24970 33836 34508 42295 43135 49940 84590 86270 94897 169180 172540 174563 189794 349126 379588 474485 698252 872815 948970 1745630 1897940 1920193 1958329 3491260 3840386 3916658 6634163 7680772 7833316 9600965 9791645 13268326 19201930 19583290 21541619 26536652 33170815 38403860 39166580 43083238 66341630 72975793 86166476 107708095 132683260 145951586 215416190 291903172 364878965 430832380 729757930 1459515860 1505955001 3011910002 6023820004 7529775005 15059550010 16565505011 30119100020 33131010022 66262020044 82827525055 165655050110 331310100220