Search a number
-
+
22312002301 is a prime number
BaseRepresentation
bin10100110001111001…
…100010001011111101
32010120221222011011121
4110301321202023331
5331143333033201
614125555350541
71416624614251
oct246171421375
963527864147
1022312002301
11950a5a8626
1243a82b2451
132147692b34
14111939a261
158a8c0d9a1
hex531e622fd

22312002301 has 2 divisors, whose sum is σ = 22312002302. Its totient is φ = 22312002300.

The previous prime is 22312002277. The next prime is 22312002313. The reversal of 22312002301 is 10320021322.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 18129276025 + 4182726276 = 134645^2 + 64674^2 .

It is a cyclic number.

It is not a de Polignac number, because 22312002301 - 211 = 22312000253 is a prime.

It is a super-3 number, since 3×223120023013 (a number of 32 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (22312002701) 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 as a sum of consecutive naturals, namely, 11156001150 + 11156001151.

It is an arithmetic number, because the mean of its divisors is an integer number (11156001151).

Almost surely, 222312002301 is an apocalyptic number.

It is an amenable number.

22312002301 is a deficient number, since it is larger than the sum of its proper divisors (1).

22312002301 is an equidigital number, since it uses as much as digits as its factorization.

22312002301 is an odious number, because the sum of its binary digits is odd.

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

Adding to 22312002301 its reverse (10320021322), we get a palindrome (32632023623).

The spelling of 22312002301 in words is "twenty-two billion, three hundred twelve million, two thousand, three hundred one".