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132112112221 is a prime number
BaseRepresentation
bin111101100001001111…
…1101101101001011101
3110122000010020122220101
41323002133231221131
54131031200042341
6140405205021101
712354601265635
oct1730237555135
9418003218811
10132112112221
1151034930321
12217300b4791
13c5c564378b
146573bc96c5
1536834be831
hex1ec27eda5d

132112112221 has 2 divisors, whose sum is σ = 132112112222. Its totient is φ = 132112112220.

The previous prime is 132112112207. The next prime is 132112112227. The reversal of 132112112221 is 122211211231.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 76173240025 + 55938872196 = 275995^2 + 236514^2 .

It is an emirp because it is prime and its reverse (122211211231) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 132112112221 - 217 = 132111981149 is a prime.

It is a super-3 number, since 3×1321121122213 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (132112112227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 66056056110 + 66056056111.

It is an arithmetic number, because the mean of its divisors is an integer number (66056056111).

Almost surely, 2132112112221 is an apocalyptic number.

It is an amenable number.

132112112221 is a deficient number, since it is larger than the sum of its proper divisors (1).

132112112221 is an equidigital number, since it uses as much as digits as its factorization.

132112112221 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 96, while the sum is 19.

Adding to 132112112221 its reverse (122211211231), we get a palindrome (254323323452).

The spelling of 132112112221 in words is "one hundred thirty-two billion, one hundred twelve million, one hundred twelve thousand, two hundred twenty-one".