Search a number
-
+
21223231020133 is a prime number
BaseRepresentation
bin1001101001101011010110…
…01001010101110001100101
32210010220212110102201021021
410310311223021111301211
510240210134120121013
6113045452344051141
74320220310106412
oct464655311256145
983126773381237
1021223231020133
1168427a369341a
122469255163ab1
13bac45a7862ac
145352d1c0d109
1526c0e92b6a8d
hex134d6b255c65

21223231020133 has 2 divisors, whose sum is σ = 21223231020134. Its totient is φ = 21223231020132.

The previous prime is 21223231020127. The next prime is 21223231020143. The reversal of 21223231020133 is 33102013232212.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 21072809603169 + 150421416964 = 4590513^2 + 387842^2 .

It is a cyclic number.

It is not a de Polignac number, because 21223231020133 - 241 = 19024207764581 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 21223231020098 and 21223231020107.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (21223231020143) 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, 10611615510066 + 10611615510067.

It is an arithmetic number, because the mean of its divisors is an integer number (10611615510067).

Almost surely, 221223231020133 is an apocalyptic number.

It is an amenable number.

21223231020133 is a deficient number, since it is larger than the sum of its proper divisors (1).

21223231020133 is an equidigital number, since it uses as much as digits as its factorization.

21223231020133 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2592, while the sum is 25.

Adding to 21223231020133 its reverse (33102013232212), we get a palindrome (54325244252345).

The spelling of 21223231020133 in words is "twenty-one trillion, two hundred twenty-three billion, two hundred thirty-one million, twenty thousand, one hundred thirty-three".