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2331024322341 = 3112136122336313
BaseRepresentation
bin100001111010111011111…
…000000110111100100101
322020211210002111202011210
4201322323320012330211
5301142414211303331
64542505141022033
7330260645550651
oct41727370067445
98224702452153
102331024322341
11819644507700
123179273b4919
1313ba78a2cb60
1480b720b9a61
154097e19d446
hex21ebbe06f25

2331024322341 has 96 divisors (see below), whose sum is σ = 3756241140736. Its totient is φ = 1276904217600.

The previous prime is 2331024322339. The next prime is 2331024322351. The reversal of 2331024322341 is 1432234201332.

It is a happy number.

It is not a de Polignac number, because 2331024322341 - 21 = 2331024322339 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2331024322299 and 2331024322308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2331024322301) 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 95 ways as a sum of consecutive naturals, for example, 64174401 + ... + 64210713.

Almost surely, 22331024322341 is an apocalyptic number.

It is an amenable number.

2331024322341 is a deficient number, since it is larger than the sum of its proper divisors (1425216818395).

2331024322341 is a wasteful number, since it uses less digits than its factorization.

2331024322341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36635 (or 36624 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 30.

Adding to 2331024322341 its reverse (1432234201332), we get a palindrome (3763258523673).

The spelling of 2331024322341 in words is "two trillion, three hundred thirty-one billion, twenty-four million, three hundred twenty-two thousand, three hundred forty-one".

Divisors: 1 3 11 13 33 39 61 121 143 183 223 363 429 669 671 793 1573 2013 2379 2453 2899 4719 7359 7381 8697 8723 13603 22143 26169 26983 31889 36313 40809 80949 95667 95953 108939 149633 176839 287859 350779 399443 448899 472069 530517 1052337 1198329 1416207 1645963 1945229 2215093 4393873 4937889 5192759 5835687 6645279 8097799 13181619 15578277 21397519 24293397 24366023 28796209 57120349 64192557 73098069 86388627 89075789 105271387 171361047 267227367 268026253 315814161 316758299 493965739 804078759 950274897 979833679 1157985257 1481897217 2939501037 3473955771 3484341289 5433623129 6421554607 10453023867 12737837827 16300869387 19264663821 38213513481 59769854419 70637100677 179309563257 211911302031 777008107447 2331024322341