Search a number
-
+
10221242422424 = 231119291012087123
BaseRepresentation
bin1001010010111101000110…
…0001100001010010011000
31100012010210221212210201212
42110233101201201102120
52314431101030004144
633423323550002252
72103313626041105
oct224572141412230
940163727783655
1010221242422424
113290893975630
121190b414a6388
13591b2237ab07
142749d4509aac
1512ad2824d49e
hex94bd1861498

10221242422424 has 128 divisors (see below), whose sum is σ = 22991757984000. Its totient is φ = 4207637952000.

The previous prime is 10221242422421. The next prime is 10221242422463. The reversal of 10221242422424 is 42422424212201.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10221242422421) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3853727 + ... + 5940849.

It is an arithmetic number, because the mean of its divisors is an integer number (179623109250).

Almost surely, 210221242422424 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 10221242422424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11495878992000).

10221242422424 is an abundant number, since it is smaller than the sum of its proper divisors (12770515561576).

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

10221242422424 is a wasteful number, since it uses less digits than its factorization.

10221242422424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2087289 (or 2087285 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 32.

Adding to 10221242422424 its reverse (42422424212201), we get a palindrome (52643666634625).

The spelling of 10221242422424 in words is "ten trillion, two hundred twenty-one billion, two hundred forty-two million, four hundred twenty-two thousand, four hundred twenty-four".

Divisors: 1 2 4 8 11 19 22 29 38 44 58 76 88 101 116 152 202 209 232 319 404 418 551 638 808 836 1102 1111 1276 1672 1919 2204 2222 2552 2929 3838 4408 4444 5858 6061 7676 8888 11716 12122 15352 21109 23432 24244 32219 42218 48488 55651 64438 84436 111302 128876 168872 222604 257752 445208 612161 1224322 2087123 2448644 4174246 4897288 8348492 16696984 22958353 39655337 45916706 60526567 79310674 91833412 121053134 158621348 183666824 210799423 242106268 317242696 421598846 436208707 484212536 665792237 843197692 872417414 1150004773 1331584474 1686395384 1744834828 2300009546 2318793653 2663168948 3489669656 4005189037 4600019092 4637587306 5326337896 6113183267 8010378074 9200038184 9275174612 12226366534 12650052503 16020756148 18550349224 24452733068 25300105006 32041512296 44057079407 48905466136 50600210012 67245015937 88114158814 101200420024 116150482073 134490031874 176228317628 232300964146 268980063748 352456635256 464601928292 537960127496 929203856584 1277655302803 2555310605606 5110621211212 10221242422424