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3300122101032 = 2332416118326681
BaseRepresentation
bin110000000001011110100…
…110110000010100101000
3102200111012011221200022200
4300001132212300110220
5413032122224213112
611004015525420200
7460266050011221
oct60013646602450
912614164850280
103300122101032
11106263498a319
1245370426a660
131ac27aa3cb33
14b5a26340248
155ac9c9c0cdc
hex3005e9b0528

3300122101032 has 96 divisors (see below), whose sum is σ = 9305922585960. Its totient is φ = 1055616768000.

The previous prime is 3300122101009. The next prime is 3300122101033. The reversal of 3300122101032 is 2301012210033.

It can be written as a sum of positive squares in 4 ways, for example, as 2231516118276 + 1068605982756 = 1493826^2 + 1033734^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 3300122100996 and 3300122101014.

It is not an unprimeable number, because it can be changed into a prime (3300122101033) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8983269 + ... + 9343412.

Almost surely, 23300122101032 is an apocalyptic number.

It is an amenable number.

3300122101032 is an abundant number, since it is smaller than the sum of its proper divisors (6005800484928).

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

3300122101032 is a wasteful number, since it uses less digits than its factorization.

3300122101032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18326795 (or 18326788 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 3300122101032 its reverse (2301012210033), we get a palindrome (5601134311065).

The spelling of 3300122101032 in words is "three trillion, three hundred billion, one hundred twenty-two million, one hundred one thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 41 61 72 82 122 123 164 183 244 246 328 366 369 488 492 549 732 738 984 1098 1464 1476 2196 2501 2952 4392 5002 7503 10004 15006 20008 22509 30012 45018 60024 90036 180072 18326681 36653362 54980043 73306724 109960086 146613448 164940129 219920172 329880258 439840344 659760516 751393921 1117927541 1319521032 1502787842 2235855082 2254181763 3005575684 3353782623 4471710164 4508363526 6011151368 6707565246 6762545289 8943420328 9016727052 10061347869 13415130492 13525090578 18033454104 20122695738 26830260984 27050181156 40245391476 45835029181 54100362312 80490782952 91670058362 137505087543 183340116724 275010175086 366680233448 412515262629 550020350172 825030525258 1100040700344 1650061050516 3300122101032