Search a number
-
+
21222212121201 = 3713376173471817
BaseRepresentation
bin1001101001101001011100…
…11010100011001001110001
32210010211020110012021200210
410310310232122203021301
510240201042300334301
6113045203305334333
74320153125443530
oct464645632431161
983124213167623
1021222212121201
116842320531593
12246900ba973a9
13bac32765cc10
14535236782317
1526c089b00ad6
hex134d2e6a3271

21222212121201 has 128 divisors (see below), whose sum is σ = 36851869551616. Its totient is φ = 10566262702080.

The previous prime is 21222212121197. The next prime is 21222212121223. The reversal of 21222212121201 is 10212121222212.

It is not a de Polignac number, because 21222212121201 - 22 = 21222212121197 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (21222212125201) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 44743845 + ... + 45215661.

It is an arithmetic number, because the mean of its divisors is an integer number (287905230872).

Almost surely, 221222212121201 is an apocalyptic number.

21222212121201 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

21222212121201 is a deficient number, since it is larger than the sum of its proper divisors (15629657430415).

21222212121201 is a wasteful number, since it uses less digits than its factorization.

21222212121201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 472011.

The product of its (nonzero) digits is 256, while the sum is 21.

Adding to 21222212121201 its reverse (10212121222212), we get a palindrome (31434333343413).

The spelling of 21222212121201 in words is "twenty-one trillion, two hundred twenty-two billion, two hundred twelve million, one hundred twenty-one thousand, two hundred one".

Divisors: 1 3 7 13 21 37 39 61 73 91 111 183 219 259 273 427 481 511 777 793 949 1281 1443 1533 2257 2379 2701 2847 3367 4453 5551 6643 6771 8103 10101 13359 15799 16653 18907 19929 29341 31171 35113 47397 56721 57889 88023 93513 105339 164761 173667 205387 245791 405223 471817 494283 616161 737373 1153327 1215669 1415451 2141893 3302719 3459981 6133621 6425679 9908157 14993251 17457229 18400863 28780837 34442641 42935347 44979753 52371687 86342511 103327923 122200603 128806041 201465859 226943977 241098487 366601809 374150881 447754333 604397577 680831931 723295461 1064890969 1122452643 1274377717 1343262999 1588607839 2101001101 2619056167 3134280331 3194672907 3823133151 4765823517 6303003303 7454236783 7857168501 8920644019 9402840993 13843582597 14707007707 16566910321 22362710349 26761932057 27313014313 41530747791 44121023121 49700730963 77737040737 81939042939 96905078179 115968372247 191191100191 233211122211 290715234537 347905116741 544159285159 573573300573 1010581529581 1632477855477 3031744588743 7074070707067 21222212121201