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20021221101121 = 411932713932609
BaseRepresentation
bin1001000110101100011011…
…10001011000111001000001
32121220000021022201010201221
410203112031301120321001
510111011430100213441
6110325342203555041
74134325344300232
oct443261561307101
977800238633657
1020021221101121
116419a523a5439
1222b42b652ba81
13b22cba9604c6
144d30647a7089
1524abe7e098d1
hex12358dc58e41

20021221101121 has 16 divisors (see below), whose sum is σ = 20623431643920. Its totient is φ = 19424508641280.

The previous prime is 20021221101071. The next prime is 20021221101169. The reversal of 20021221101121 is 12110112212002.

It can be written as a sum of positive squares in 8 ways, for example, as 356528410000 + 19664692691121 = 597100^2 + 4434489^2 .

It is a cyclic number.

It is not a de Polignac number, because 20021221101121 - 221 = 20021219003969 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 20021221101095 and 20021221101104.

It is not an unprimeable number, because it can be changed into a prime (20021221701121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21001665 + ... + 21934273.

It is an arithmetic number, because the mean of its divisors is an integer number (1288964477745).

Almost surely, 220021221101121 is an apocalyptic number.

It is an amenable number.

20021221101121 is a deficient number, since it is larger than the sum of its proper divisors (602210542799).

20021221101121 is a wasteful number, since it uses less digits than its factorization.

20021221101121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 935556.

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 20021221101121 its reverse (12110112212002), we get a palindrome (32131333313123).

The spelling of 20021221101121 in words is "twenty trillion, twenty-one billion, two hundred twenty-one million, one hundred one thousand, one hundred twenty-one".

Divisors: 1 41 193 2713 7913 111233 523609 932609 21467969 38236969 179993537 2530168217 7379735017 103736896897 488322465881 20021221101121