Search a number
-
+
20021222212101 = 32112172192176221
BaseRepresentation
bin1001000110101100011011…
…10101101000001000000101
32121220000021101210120201100
410203112031311220020011
510111011430341241401
6110325342243450313
74134325356605235
oct443261565501005
977800241716640
1020021222212101
116419a52a94100
1222b42b6986999
13b22cbac5c0a6
144d30649b5cc5
1524abe8078b86
hex12358dd68205

20021222212101 has 162 divisors, whose sum is σ = 35638422347346. Its totient is φ = 10819174924800.

The previous prime is 20021222212097. The next prime is 20021222212129. The reversal of 20021222212101 is 10121222212002.

It is a happy number.

20021222212101 is a `hidden beast` number, since 20 + 0 + 212 + 2 + 221 + 210 + 1 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 7855071236100 + 12166150976001 = 2802690^2 + 3488001^2 .

It is not a de Polignac number, because 20021222212101 - 22 = 20021222212097 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20021222212151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 161 ways as a sum of consecutive naturals, for example, 113526171 + ... + 113702391.

Almost surely, 220021222212101 is an apocalyptic number.

It is an amenable number.

20021222212101 is a deficient number, since it is larger than the sum of its proper divisors (15617200135245).

20021222212101 is a wasteful number, since it uses less digits than its factorization.

20021222212101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176321 (or 176271 counting only the distinct ones).

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

Adding to 20021222212101 its reverse (10121222212002), we get a palindrome (30142444424103).

Subtracting from 20021222212101 its reverse (10121222212002), we obtain a palindrome (9900000000099).

The spelling of 20021222212101 in words is "twenty trillion, twenty-one billion, two hundred twenty-two million, two hundred twelve thousand, one hundred one".