Search a number
-
+
132100233210133 is a prime number
BaseRepresentation
bin11110000010010011111011…
…011110011010100100010101
3122022201122210101022210010221
4132002103323132122210111
5114303312234200211013
61144542002004314341
736552632632351126
oct3602237336324425
9568648711283127
10132100233210133
113910043788a361
1212995ab09a29b1
135892cc9a40446
142489984a5804d
15104136beca08d
hex7824fb79a915

132100233210133 has 2 divisors, whose sum is σ = 132100233210134. Its totient is φ = 132100233210132.

The previous prime is 132100233210067. The next prime is 132100233210151. The reversal of 132100233210133 is 331012332001231.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 131963988803364 + 136244406769 = 11487558^2 + 369113^2 .

It is a cyclic number.

It is not a de Polignac number, because 132100233210133 - 237 = 131962794256661 is a prime.

It is a super-2 number, since 2×1321002332101332 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 132100233210098 and 132100233210107.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (132100231210133) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 66050116605066 + 66050116605067.

It is an arithmetic number, because the mean of its divisors is an integer number (66050116605067).

Almost surely, 2132100233210133 is an apocalyptic number.

It is an amenable number.

132100233210133 is a deficient number, since it is larger than the sum of its proper divisors (1).

132100233210133 is an equidigital number, since it uses as much as digits as its factorization.

132100233210133 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1944, while the sum is 25.

Adding to 132100233210133 its reverse (331012332001231), we get a palindrome (463112565211364).

The spelling of 132100233210133 in words is "one hundred thirty-two trillion, one hundred billion, two hundred thirty-three million, two hundred ten thousand, one hundred thirty-three".