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12330111330 = 2335534631861
BaseRepresentation
bin10110111101110111…
…01001000101100010
31011211022021112222000
423132323221011202
5200223002030310
65355301024430
7614360134305
oct133673510542
934738245860
1012330111330
115258032159
1224813b5116
131216676184
1484d7ccb3c
154c272b4c0
hex2deee9162

12330111330 has 128 divisors (see below), whose sum is σ = 33591075840. Its totient is φ = 3217294080.

The previous prime is 12330111329. The next prime is 12330111347. The reversal of 12330111330 is 3311103321.

It is a happy number.

12330111330 is a `hidden beast` number, since 1 + 2 + 330 + 1 + 1 + 1 + 330 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6624600 + ... + 6626460.

It is an arithmetic number, because the mean of its divisors is an integer number (262430280).

Almost surely, 212330111330 is an apocalyptic number.

12330111330 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 12330111330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16795537920).

12330111330 is an abundant number, since it is smaller than the sum of its proper divisors (21260964510).

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

12330111330 is a wasteful number, since it uses less digits than its factorization.

12330111330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2393 (or 2387 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 12330111330 its reverse (3311103321), we get a palindrome (15641214651).

The spelling of 12330111330 in words is "twelve billion, three hundred thirty million, one hundred eleven thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 53 54 90 106 135 159 265 270 318 463 477 530 795 926 954 1389 1431 1590 1861 2315 2385 2778 2862 3722 4167 4630 4770 5583 6945 7155 8334 9305 11166 12501 13890 14310 16749 18610 20835 24539 25002 27915 33498 41670 49078 50247 55830 62505 73617 83745 98633 100494 122695 125010 147234 167490 197266 220851 245390 251235 295899 368085 441702 493165 502470 591798 662553 736170 861643 887697 986330 1104255 1325106 1479495 1723286 1775394 2208510 2584929 2663091 2958990 3312765 4308215 4438485 5169858 5326182 6625530 7754787 8616430 8876970 12924645 13315455 15509574 23264361 25849290 26630910 38773935 45667079 46528722 77547870 91334158 116321805 137001237 228335395 232643610 274002474 411003711 456670790 685006185 822007422 1233011133 1370012370 2055018555 2466022266 4110037110 6165055665 12330111330