Search a number
-
+
1213311011177 is a prime number
BaseRepresentation
bin10001101001111110111…
…110001100100101101001
311021222202201201112120102
4101221332332030211221
5124334330104324202
62325215401435145
7153441656300546
oct21517676144551
94258681645512
101213311011177
11428620486881
1217719349bab5
138a551241395
1442a202d1bcd
15218635c3d02
hex11a7ef8c969

1213311011177 has 2 divisors, whose sum is σ = 1213311011178. Its totient is φ = 1213311011176.

The previous prime is 1213311011117. The next prime is 1213311011183. The reversal of 1213311011177 is 7711101133121.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1122379211776 + 90931799401 = 1059424^2 + 301549^2 .

It is a cyclic number.

It is not a de Polignac number, because 1213311011177 - 222 = 1213306816873 is a prime.

It is not a weakly prime, because it can be changed into another prime (1213311011117) 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, 606655505588 + 606655505589.

It is an arithmetic number, because the mean of its divisors is an integer number (606655505589).

Almost surely, 21213311011177 is an apocalyptic number.

It is an amenable number.

1213311011177 is a deficient number, since it is larger than the sum of its proper divisors (1).

1213311011177 is an equidigital number, since it uses as much as digits as its factorization.

1213311011177 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 882, while the sum is 29.

Adding to 1213311011177 its reverse (7711101133121), we get a palindrome (8924412144298).

The spelling of 1213311011177 in words is "one trillion, two hundred thirteen billion, three hundred eleven million, eleven thousand, one hundred seventy-seven".