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12330210330 = 23251767120283
BaseRepresentation
bin10110111101111000…
…00001010000011010
31011211022110120202200
423132330001100122
5200223013212310
65355303111030
7614361026034
oct133674012032
934738416680
1012330210330
11525809a579
122481442476
1312166ac259
1484d816c54
154c274a9c0
hex2def0141a

12330210330 has 96 divisors (see below), whose sum is σ = 34451262144. Its totient is φ = 3048427008.

The previous prime is 12330210307. The next prime is 12330210331. The reversal of 12330210330 is 3301203321.

12330210330 is a `hidden beast` number, since 1 + 2 + 330 + 2 + 1 + 0 + 330 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (12330210331) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 42369 + ... + 162651.

It is an arithmetic number, because the mean of its divisors is an integer number (358867314).

Almost surely, 212330210330 is an apocalyptic number.

12330210330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12330210330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17225631072).

12330210330 is an abundant number, since it is smaller than the sum of its proper divisors (22121051814).

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

12330210330 is a wasteful number, since it uses less digits than its factorization.

12330210330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120380 (or 120377 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 12330210330 its reverse (3301203321), we get a palindrome (15631413651).

The spelling of 12330210330 in words is "twelve billion, three hundred thirty million, two hundred ten thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 17 18 30 34 45 51 67 85 90 102 134 153 170 201 255 306 335 402 510 603 670 765 1005 1139 1206 1530 2010 2278 3015 3417 5695 6030 6834 10251 11390 17085 20502 34170 51255 102510 120283 240566 360849 601415 721698 1082547 1202830 1804245 2044811 2165094 3608490 4089622 5412735 6134433 8058961 10224055 10825470 12268866 16117922 18403299 20448110 24176883 30672165 36806598 40294805 48353766 61344330 72530649 80589610 92016495 120884415 137002337 145061298 184032990 241768830 274004674 362653245 411007011 685011685 725306490 822014022 1233021033 1370023370 2055035055 2466042066 4110070110 6165105165 12330210330