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20221131031101 = 32711213204049799
BaseRepresentation
bin1001001100100000110010…
…10101010000001000111101
32122121010021101111210101200
410212100121111100020331
510122300334020443401
6111001243115330113
74154633322540360
oct446203125201075
978533241453350
1020221131031101
116496808337700
122326ba7a50939
13b38ac94048c0
144dc9ca9200d7
15250ee84db686
hex12641955023d

20221131031101 has 72 divisors (see below), whose sum is σ = 39513835670400. Its totient is φ = 9696446400960.

The previous prime is 20221131030979. The next prime is 20221131031141. The reversal of 20221131031101 is 10113013112202.

20221131031101 is a `hidden beast` number, since 2 + 0 + 221 + 1 + 310 + 31 + 101 = 666.

It is not a de Polignac number, because 20221131031101 - 242 = 15823084519997 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20221131031141) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 101925801 + ... + 102123998.

It is an arithmetic number, because the mean of its divisors is an integer number (548803273200).

Almost surely, 220221131031101 is an apocalyptic number.

20221131031101 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

20221131031101 is a deficient number, since it is larger than the sum of its proper divisors (19292704639299).

20221131031101 is a wasteful number, since it uses less digits than its factorization.

20221131031101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204049847 (or 204049833 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 20221131031101 its reverse (10113013112202), we get a palindrome (30334144143303).

The spelling of 20221131031101 in words is "twenty trillion, two hundred twenty-one billion, one hundred thirty-one million, thirty-one thousand, one hundred one".

Divisors: 1 3 7 9 11 13 21 33 39 63 77 91 99 117 121 143 231 273 363 429 693 819 847 1001 1089 1287 1573 2541 3003 4719 7623 9009 11011 14157 33033 99099 204049799 612149397 1428348593 1836448191 2244547789 2652647387 4285045779 6733643367 7957942161 12855137337 15711834523 18568531709 20200930101 23873826483 24690025679 29179121257 47135503569 55705595127 74070077037 87537363771 141406510707 167116785381 172830179753 204253848799 222210231111 262612091313 320970333827 518490539259 612761546397 962911001481 1555471617777 1838284639191 2246792336789 2888733004443 6740377010367 20221131031101