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3102122132320 = 255472511643491
BaseRepresentation
bin101101001001000100111…
…000110100001101100000
3101222120010020002002222011
4231021010320310031200
5401311121231213240
610333032323122304
7440056323026221
oct55110470641540
911876106062864
103102122132320
11a9666a087242
12421266513394
131966b4ba9333
14aa201b25248
1555a5ee186ea
hex2d244e34360

3102122132320 has 96 divisors (see below), whose sum is σ = 7514518749696. Its totient is φ = 1209608640000.

The previous prime is 3102122132281. The next prime is 3102122132339. The reversal of 3102122132320 is 232312212013.

It is a junction number, because it is equal to n+sod(n) for n = 3102122132291 and 3102122132300.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1065775 + ... + 2709265.

It is an arithmetic number, because the mean of its divisors is an integer number (78276236976).

Almost surely, 23102122132320 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 3102122132320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3757259374848).

3102122132320 is an abundant number, since it is smaller than the sum of its proper divisors (4412396617376).

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

3102122132320 is a wasteful number, since it uses less digits than its factorization.

3102122132320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1643804 (or 1643796 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 3102122132320 its reverse (232312212013), we get a palindrome (3334434344333).

The spelling of 3102122132320 in words is "three trillion, one hundred two billion, one hundred twenty-two million, one hundred thirty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 47 80 94 160 188 235 251 376 470 502 752 940 1004 1255 1504 1880 2008 2510 3760 4016 5020 7520 8032 10040 11797 20080 23594 40160 47188 58985 94376 117970 188752 235940 377504 471880 943760 1643491 1887520 3286982 6573964 8217455 13147928 16434910 26295856 32869820 52591712 65739640 77244077 131479280 154488154 262958560 308976308 386220385 412516241 617952616 772440770 825032482 1235905232 1544881540 1650064964 2062581205 2471810464 3089763080 3300129928 4125162410 6179526160 6600259856 8250324820 12359052320 13200519712 16500649640 19388263327 33001299280 38776526654 66002598560 77553053308 96941316635 155106106616 193882633270 310212213232 387765266540 620424426464 775530533080 1551061066160 3102122132320