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331321201000 = 2353292393961
BaseRepresentation
bin1001101001001000100…
…10000101000101101000
31011200012100021220011121
410310210102011011220
520412021211413000
6412112403105024
732636306512216
oct4644422050550
91150170256147
10331321201000
111185701a9189
1254266972174
1325321b4293a
1412070c29cb6
1589422b4b1a
hex4d24485168

331321201000 has 96 divisors (see below), whose sum is σ = 802949710680. Its totient is φ = 127958208000.

The previous prime is 331321200979. The next prime is 331321201027. The reversal of 331321201000 is 102123133.

It can be written as a sum of positive squares in 12 ways, for example, as 44631632644 + 286689568356 = 211262^2 + 535434^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 644020 + ... + 1037980.

Almost surely, 2331321201000 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 331321201000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (401474855340).

331321201000 is an abundant number, since it is smaller than the sum of its proper divisors (471628509680).

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

331321201000 is a wasteful number, since it uses less digits than its factorization.

331321201000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 394040 (or 393997 counting only the distinct ones).

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

Adding to 331321201000 its reverse (102123133), we get a palindrome (331423324133).

The spelling of 331321201000 in words is "three hundred thirty-one billion, three hundred twenty-one million, two hundred one thousand".

Divisors: 1 2 4 5 8 10 20 25 29 40 50 58 100 116 125 145 200 232 250 290 500 580 725 841 1000 1160 1450 1682 2900 3364 3625 4205 5800 6728 7250 8410 14500 16820 21025 29000 33640 42050 84100 105125 168200 210250 393961 420500 787922 841000 1575844 1969805 3151688 3939610 7879220 9849025 11424869 15758440 19698050 22849738 39396100 45699476 49245125 57124345 78792200 91398952 98490250 114248690 196980500 228497380 285621725 331321201 393961000 456994760 571243450 662642402 1142486900 1325284804 1428108625 1656606005 2284973800 2650569608 2856217250 3313212010 5712434500 6626424020 8283030025 11424869000 13252848040 16566060050 33132120100 41415150125 66264240200 82830300250 165660600500 331321201000