Search a number
-
+
20330031113141 is a prime number
BaseRepresentation
bin1001001111101011101000…
…10010000110001110110101
32122222112100211020010222112
410213311310102012032311
510131041400431110031
6111123253134140405
74165540060136051
oct447656422061665
978875324203875
1020330031113141
116528a10619102
12234411a351705
13b46162a7c279
14503d9b9c6c61
15253c6dc6762b
hex127d744863b5

20330031113141 has 2 divisors, whose sum is σ = 20330031113142. Its totient is φ = 20330031113140.

The previous prime is 20330031113059. The next prime is 20330031113167. The reversal of 20330031113141 is 14131113003302.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 15156453410641 + 5173577702500 = 3893129^2 + 2274550^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-20330031113141 is a prime.

It is a super-2 number, since 2×203300311131412 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (20330031113641) 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, 10165015556570 + 10165015556571.

It is an arithmetic number, because the mean of its divisors is an integer number (10165015556571).

Almost surely, 220330031113141 is an apocalyptic number.

It is an amenable number.

20330031113141 is a deficient number, since it is larger than the sum of its proper divisors (1).

20330031113141 is an equidigital number, since it uses as much as digits as its factorization.

20330031113141 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 648, while the sum is 23.

Adding to 20330031113141 its reverse (14131113003302), we get a palindrome (34461144116443).

The spelling of 20330031113141 in words is "twenty trillion, three hundred thirty billion, thirty-one million, one hundred thirteen thousand, one hundred forty-one".