Search a number
-
+
21222300300001 is a prime number
BaseRepresentation
bin1001101001101001100111…
…01010111011001011100001
32210010211110121010020021021
410310310303222323023201
510240201232334100001
6113045220135325441
74320155246112553
oct464646352731341
983124417106237
1021222300300001
116842366289629
122469035520881
13bac33c9c4c18
145352443774d3
1526c09271cba1
hex134d33abb2e1

21222300300001 has 2 divisors, whose sum is σ = 21222300300002. Its totient is φ = 21222300300000.

The previous prime is 21222300299999. The next prime is 21222300300013. The reversal of 21222300300001 is 10000300322212.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 18074954646225 + 3147345653776 = 4251465^2 + 1774076^2 .

It is a cyclic number.

It is not a de Polignac number, because 21222300300001 - 21 = 21222300299999 is a prime.

It is a super-3 number, since 3×212223003000013 (a number of 41 digits) contains 333 as substring.

Together with 21222300299999, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (21222300301001) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10611150150000 + 10611150150001.

It is an arithmetic number, because the mean of its divisors is an integer number (10611150150001).

Almost surely, 221222300300001 is an apocalyptic number.

It is an amenable number.

21222300300001 is a deficient number, since it is larger than the sum of its proper divisors (1).

21222300300001 is an equidigital number, since it uses as much as digits as its factorization.

21222300300001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 21222300300001 its reverse (10000300322212), we get a palindrome (31222600622213).

The spelling of 21222300300001 in words is "twenty-one trillion, two hundred twenty-two billion, three hundred million, three hundred thousand, one".