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20132332133 is a prime number
BaseRepresentation
bin10010101111111110…
…110000001001100101
31220222001112102210212
4102233332300021211
5312212334112013
613125413425205
71311616666604
oct225776601145
956861472725
1020132332133
1185a11a4121
123a9a33b205
131b8ac2ba84
14d8dad1a3b
157cc6aa6a8
hex4affb0265

20132332133 has 2 divisors, whose sum is σ = 20132332134. Its totient is φ = 20132332132.

The previous prime is 20132332109. The next prime is 20132332141. The reversal of 20132332133 is 33123323102.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 13722248164 + 6410083969 = 117142^2 + 80063^2 .

It is a cyclic number.

It is not a de Polignac number, because 20132332133 - 228 = 19863896677 is a prime.

It is a super-2 number, since 2×201323321332 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 20132332099 and 20132332108.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (20132332163) 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, 10066166066 + 10066166067.

It is an arithmetic number, because the mean of its divisors is an integer number (10066166067).

Almost surely, 220132332133 is an apocalyptic number.

It is an amenable number.

20132332133 is a deficient number, since it is larger than the sum of its proper divisors (1).

20132332133 is an equidigital number, since it uses as much as digits as its factorization.

20132332133 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 23.

Adding to 20132332133 its reverse (33123323102), we get a palindrome (53255655235).

The spelling of 20132332133 in words is "twenty billion, one hundred thirty-two million, three hundred thirty-two thousand, one hundred thirty-three".