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20221120221201 = 361011372278831
BaseRepresentation
bin1001001100100000110001…
…01100000001000000010001
32122121010020122011121000000
410212100120230001000101
510122300323234034301
6111001242051520213
74154633131625544
oct446203054010021
978533218147000
1020221120221201
116496802223aa9
122326ba42b9069
13b38ac70bb503
144dc9c930885b
15250ee75a3786
hex126418b01011

20221120221201 has 112 divisors (see below), whose sum is σ = 30980849891328. Its totient is φ = 13189985568000.

The previous prime is 20221120221191. The next prime is 20221120221229. The reversal of 20221120221201 is 10212202112202.

It is a happy number.

20221120221201 is a `hidden beast` number, since 2 + 0 + 221 + 1 + 20 + 221 + 201 = 666.

It is not a de Polignac number, because 20221120221201 - 213 = 20221120213009 is a prime.

It is not an unprimeable number, because it can be changed into a prime (20221120226201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 2289783856 + ... + 2289792686.

Almost surely, 220221120221201 is an apocalyptic number.

It is an amenable number.

20221120221201 is a deficient number, since it is larger than the sum of its proper divisors (10759729670127).

20221120221201 is a wasteful number, since it uses less digits than its factorization.

20221120221201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9314 (or 9299 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 20221120221201 its reverse (10212202112202), we get a palindrome (30433322333403).

The spelling of 20221120221201 in words is "twenty trillion, two hundred twenty-one billion, one hundred twenty million, two hundred twenty-one thousand, two hundred one".

Divisors: 1 3 9 27 81 101 137 227 243 303 411 681 729 909 1233 2043 2727 3699 6129 8181 8831 11097 13837 18387 22927 24543 26493 31099 33291 41511 55161 68781 73629 79479 93297 99873 124533 165483 206343 238437 279891 373599 619029 715311 839673 891931 1120797 1209847 1857087 2004637 2145933 2519019 2675793 3140999 3362391 3629541 5571261 6013911 6437799 7557057 8027379 9422997 10087173 10888623 16713783 18041733 22671171 24082137 28268991 32665869 54125199 72246411 84806973 97997607 122194547 162375597 202468337 216739233 254420919 274635269 293992821 366583641 487126791 607405011 650217699 763262757 823905807 881978463 1099750923 1461380373 1822215033 2289788271 2471717421 3299252769 5466645099 7415152263 9897758307 16399935297 22245456789 27738162169 29693274921 49199805891 66736370367 83214486507 89079824763 147599417673 200209111101 249643459521 748930378563 2246791135689 6740373407067 20221120221201