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20221122220101 = 32111744926759303
BaseRepresentation
bin1001001100100000110001…
…10011101001000001000101
32122121010020202221010222100
410212100120303221001011
510122300324242020401
6111001242202422313
74154633154622335
oct446203063510105
978533222833870
1020221122220101
116496803369890
122326ba4b01999
13b38ac763b2aa
144dc9c96a90c5
15250ee784ab86
hex126418ce9045

20221122220101 has 48 divisors (see below), whose sum is σ = 33813056534400. Its totient is φ = 11508640604160.

The previous prime is 20221122220099. The next prime is 20221122220109. The reversal of 20221122220101 is 10102222112202.

It is a happy number.

20221122220101 is a `hidden beast` number, since 2 + 0 + 221 + 122 + 220 + 101 = 666.

It is not a de Polignac number, because 20221122220101 - 21 = 20221122220099 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20221122220109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12623985 + ... + 14135318.

It is an arithmetic number, because the mean of its divisors is an integer number (704438677800).

Almost surely, 220221122220101 is an apocalyptic number.

It is an amenable number.

20221122220101 is a deficient number, since it is larger than the sum of its proper divisors (13591934314299).

20221122220101 is a wasteful number, since it uses less digits than its factorization.

20221122220101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26759786 (or 26759783 counting only the distinct ones).

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

Adding to 20221122220101 its reverse (10102222112202), we get a palindrome (30323344332303).

The spelling of 20221122220101 in words is "twenty trillion, two hundred twenty-one billion, one hundred twenty-two million, two hundred twenty thousand, one hundred one".

Divisors: 1 3 9 11 17 33 51 99 153 187 449 561 1347 1683 4041 4939 7633 14817 22899 44451 68697 83963 251889 755667 26759303 80277909 240833727 294352333 454908151 883056999 1364724453 2649170997 4094173359 5003989661 12014927047 15011968983 36044781141 45035906949 108134343423 132164197517 204253759799 396492592551 612761279397 1189477777653 1838283838191 2246791357789 6740374073367 20221122220101