Search a number
-
+
21202122201977 is a prime number
BaseRepresentation
bin1001101001000100000001…
…11101100101101101111001
32210001220101100110122110102
410310202000331211231321
510234333421240430402
6113032042004525145
74315542232111463
oct464420075455571
983056340418412
1021202122201977
116834851276962
1224651439b07b5
13baa475461052
1453428c571133
1526b7b1022102
hex134880f65b79

21202122201977 has 2 divisors, whose sum is σ = 21202122201978. Its totient is φ = 21202122201976.

The previous prime is 21202122201947. The next prime is 21202122201979. The reversal of 21202122201977 is 77910222120212.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 15206108049001 + 5996014152976 = 3899501^2 + 2448676^2 .

It is a cyclic number.

It is not a de Polignac number, because 21202122201977 - 222 = 21202118007673 is a prime.

Together with 21202122201979, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 21202122201977.

It is not a weakly prime, because it can be changed into another prime (21202122201979) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10601061100988 + 10601061100989.

It is an arithmetic number, because the mean of its divisors is an integer number (10601061100989).

Almost surely, 221202122201977 is an apocalyptic number.

It is an amenable number.

21202122201977 is a deficient number, since it is larger than the sum of its proper divisors (1).

21202122201977 is an equidigital number, since it uses as much as digits as its factorization.

21202122201977 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 28224, while the sum is 38.

The spelling of 21202122201977 in words is "twenty-one trillion, two hundred two billion, one hundred twenty-two million, two hundred one thousand, nine hundred seventy-seven".