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13110441122212 = 22729163907109211
BaseRepresentation
bin1011111011001000001100…
…1011111001100110100100
31201102100100011221211120021
42332302003023321212210
53204300140411402322
643514504205044524
72522124644554420
oct276620313714644
951370304854507
1013110441122212
1141a511a252515
121578a84256744
13741403694185
14334797a35b80
1517b0753674c7
hexbec832f99a4

13110441122212 has 96 divisors (see below), whose sum is σ = 27321801937920. Its totient is φ = 5385733960320.

The previous prime is 13110441122209. The next prime is 13110441122227. The reversal of 13110441122212 is 21222114401131.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 119992287 + ... + 120101497.

It is an arithmetic number, because the mean of its divisors is an integer number (284602103520).

Almost surely, 213110441122212 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 13110441122212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13660900968960).

13110441122212 is an abundant number, since it is smaller than the sum of its proper divisors (14211360815708).

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

13110441122212 is a wasteful number, since it uses less digits than its factorization.

13110441122212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110321 (or 110319 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 25.

Adding to 13110441122212 its reverse (21222114401131), we get a palindrome (34332555523343).

The spelling of 13110441122212 in words is "thirteen trillion, one hundred ten billion, four hundred forty-one million, one hundred twenty-two thousand, two hundred twelve".

Divisors: 1 2 4 7 14 28 29 58 116 163 203 326 406 652 812 907 1141 1814 2282 3628 4564 4727 6349 9454 12698 18908 25396 26303 33089 52606 66178 105212 109211 132356 147841 184121 218422 295682 368242 436844 591364 736484 764477 1034887 1528954 2069774 3057908 3167119 4139548 4287389 6334238 8574778 12668476 17149556 17801393 22169833 30011723 35602786 44339666 60023446 71205572 88679332 99054377 120046892 124609751 198108754 249219502 396217508 498439004 516240397 693380639 1032480794 1386761278 2064961588 2773522556 2872576933 3613682779 5745153866 7227365558 11490307732 14454731116 16145863451 20108038531 32291726902 40216077062 64583453804 80432154124 113021044157 226042088314 452084176628 468230040079 936460080158 1872920160316 3277610280553 6555220561106 13110441122212