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330122330112 = 21633115399
BaseRepresentation
bin1001100110111001101…
…00110000000000000000
31011120002210101221111010
410303130310300000000
520402042304030422
6411353415120520
732564511335631
oct4633464600000
91146083357433
10330122330112
111180054a37a3
1253b91373140
1325190655393
1411d99911888
1588c1dedb0c
hex4cdcd30000

330122330112 has 136 divisors (see below), whose sum is σ = 883313683200. Its totient is φ = 109666631680.

The previous prime is 330122330099. The next prime is 330122330117. The reversal of 330122330112 is 211033221033.

It is not an unprimeable number, because it can be changed into a prime (330122330117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 61142389 + ... + 61147787.

Almost surely, 2330122330112 is an apocalyptic number.

330122330112 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 330122330112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (441656841600).

330122330112 is an abundant number, since it is smaller than the sum of its proper divisors (553191353088).

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

330122330112 is an frugal number, since it uses more digits than its factorization.

330122330112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5745 (or 5715 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 330122330112 its reverse (211033221033), we get a palindrome (541155551145).

The spelling of 330122330112 in words is "three hundred thirty billion, one hundred twenty-two million, three hundred thirty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 311 384 512 622 768 933 1024 1244 1536 1866 2048 2488 3072 3732 4096 4976 5399 6144 7464 8192 9952 10798 12288 14928 16197 16384 19904 21596 24576 29856 32394 32768 39808 43192 49152 59712 64788 65536 79616 86384 98304 119424 129576 159232 172768 196608 238848 259152 318464 345536 477696 518304 636928 691072 955392 1036608 1273856 1382144 1679089 1910784 2073216 2547712 2764288 3358178 3821568 4146432 5037267 5095424 5528576 6716356 7643136 8292864 10074534 10190848 11057152 13432712 15286272 16585728 20149068 20381696 22114304 26865424 30572544 33171456 40298136 44228608 53730848 61145088 66342912 80596272 88457216 107461696 132685824 161192544 176914432 214923392 265371648 322385088 353828864 429846784 530743296 644770176 859693568 1061486592 1289540352 1719387136 2579080704 3438774272 5158161408 6877548544 10316322816 13755097088 20632645632 27510194176 41265291264 55020388352 82530582528 110040776704 165061165056 330122330112