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2412443321112 = 2331129624750441
BaseRepresentation
bin100011000110110000110…
…100111100001100011000
322112121221022201102112210
4203012300310330030120
5304011140442233422
65044132224435120
7336202410614136
oct43066064741430
98477838642483
102412443321112
118501253a9540
1232b66a478aa0
13146652b35bc6
1484a974b0756
1542b4701610c
hex231b0d3c318

2412443321112 has 128 divisors (see below), whose sum is σ = 6807490905600. Its totient is φ = 705708057600.

The previous prime is 2412443321089. The next prime is 2412443321129. The reversal of 2412443321112 is 2111233442142.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 2412443321112.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 47801812 + ... + 47852252.

It is an arithmetic number, because the mean of its divisors is an integer number (53183522700).

Almost surely, 22412443321112 is an apocalyptic number.

2412443321112 is a gapful number since it is divisible by the number (22) 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 2412443321112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3403745452800).

2412443321112 is an abundant number, since it is smaller than the sum of its proper divisors (4395047584488).

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

2412443321112 is a wasteful number, since it uses less digits than its factorization.

2412443321112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56737 (or 56733 counting only the distinct ones).

The product of its digits is 9216, while the sum is 30.

Adding to 2412443321112 its reverse (2111233442142), we get a palindrome (4523676763254).

The spelling of 2412443321112 in words is "two trillion, four hundred twelve billion, four hundred forty-three million, three hundred twenty-one thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 22 24 29 33 44 58 66 87 88 116 132 174 232 264 319 348 638 696 957 1276 1914 2552 3828 6247 7656 12494 18741 24988 37482 49976 50441 68717 74964 100882 137434 149928 151323 181163 201764 206151 274868 302646 362326 403528 412302 543489 549736 554851 605292 724652 824604 1086978 1109702 1210584 1449304 1462789 1649208 1664553 1992793 2173956 2219404 2925578 3329106 3985586 4347912 4388367 4438808 5851156 5978379 6658212 7971172 8776734 11702312 11956758 13316424 15942344 16090679 17553468 23913516 32181358 35106936 47827032 48272037 64362716 96544074 128725432 193088148 315104927 386176296 630209854 945314781 1260419708 1890629562 2520839416 3466154197 3781259124 6932308394 7562518248 9138042883 10398462591 13864616788 18276085766 20796925182 27414128649 27729233576 36552171532 41593850364 54828257298 73104343064 83187700728 100518471713 109656514596 201036943426 219313029192 301555415139 402073886852 603110830278 804147773704 1206221660556 2412443321112