Search a number
-
+
133212122221 is a prime number
BaseRepresentation
bin111110000010000001…
…1111010110001101101
3110201211210002221221111
41330010003322301231
54140304300402341
6141110302032021
712424056233113
oct1740403726155
9421753087844
10133212122221
11515498520a2
1221998578611
13c73c4c8b79
146639d2bab3
1536e9d58681
hex1f040fac6d

133212122221 has 2 divisors, whose sum is σ = 133212122222. Its totient is φ = 133212122220.

The previous prime is 133212122167. The next prime is 133212122227. The reversal of 133212122221 is 122221212331.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 73541846596 + 59670275625 = 271186^2 + 244275^2 .

It is an emirp because it is prime and its reverse (122221212331) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 133212122221 - 27 = 133212122093 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 133212122192 and 133212122201.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (133212122227) 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, 66606061110 + 66606061111.

It is an arithmetic number, because the mean of its divisors is an integer number (66606061111).

Almost surely, 2133212122221 is an apocalyptic number.

It is an amenable number.

133212122221 is a deficient number, since it is larger than the sum of its proper divisors (1).

133212122221 is an equidigital number, since it uses as much as digits as its factorization.

133212122221 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 576, while the sum is 22.

Adding to 133212122221 its reverse (122221212331), we get a palindrome (255433334552).

The spelling of 133212122221 in words is "one hundred thirty-three billion, two hundred twelve million, one hundred twenty-two thousand, two hundred twenty-one".