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331220310102112 = 25411017639327209
BaseRepresentation
bin100101101001111100011110…
…0111011010001000001100000
31121102202100111220101112200211
41023103320330323101001200
5321403203143341231422
63132240302044023504
7126523610024662114
oct11323707473210140
91542670456345624
10331220310102112
119659a82117aa22
123119486b831b94
13112a7c30b30662
145bb1211875744
152845c013e6577
hex12d3e3ced1060

331220310102112 has 96 divisors (see below), whose sum is σ = 674698800484800. Its totient is φ = 159949741056000.

The previous prime is 331220310102103. The next prime is 331220310102113. The reversal of 331220310102112 is 211201013022133.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (331220310102113) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1012095564 + ... + 1012422772.

It is an arithmetic number, because the mean of its divisors is an integer number (7028112505050).

Almost surely, 2331220310102112 is an apocalyptic number.

331220310102112 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 331220310102112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337349400242400).

331220310102112 is an abundant number, since it is smaller than the sum of its proper divisors (343478490382688).

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

331220310102112 is a wasteful number, since it uses less digits than its factorization.

331220310102112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 335000 (or 334992 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

Adding to 331220310102112 its reverse (211201013022133), we get a palindrome (542421323124245).

The spelling of 331220310102112 in words is "three hundred thirty-one trillion, two hundred twenty billion, three hundred ten million, one hundred two thousand, one hundred twelve".

Divisors: 1 2 4 8 16 32 41 82 101 164 202 328 404 656 808 1312 1616 3232 4141 7639 8282 15278 16564 30556 33128 61112 66256 122224 132512 244448 313199 327209 626398 654418 771539 1252796 1308836 1543078 2505592 2617672 3086156 5011184 5235344 6172312 10022368 10470688 12344624 13415569 24689248 26831138 31633099 33048109 53662276 63266198 66096218 107324552 126532396 132192436 214649104 253064792 264384872 429298208 506129584 528769744 1012259168 1057539488 1354972469 2499549551 2709944938 4999099102 5419889876 9998198204 10839779752 19996396408 21679559504 39992792816 43359119008 79985585632 102481531591 204963063182 252454504651 409926126364 504909009302 819852252728 1009818018604 1639704505456 2019636037208 3279409010912 4039272074416 8078544148832 10350634690691 20701269381382 41402538762764 82805077525528 165610155051056 331220310102112