Search a number
-
+
20314121240201 is a prime number
BaseRepresentation
bin1001001111001101111111…
…11110101111111010001001
32122221000022000222212021012
410213212333332233322021
510130311310014141301
6111112102314253305
74164434601350615
oct447467776577211
978830260885235
1020314121240201
116522196941088
12234101a127235
13b447c8890a79
145032cc9d6345
1525363c125ebb
hex1279bffafe89

20314121240201 has 2 divisors, whose sum is σ = 20314121240202. Its totient is φ = 20314121240200.

The previous prime is 20314121240159. The next prime is 20314121240243. The reversal of 20314121240201 is 10204212141302.

It is a balanced prime because it is at equal distance from previous prime (20314121240159) and next prime (20314121240243).

It can be written as a sum of positive squares in only one way, i.e., 18373396416400 + 1940724823801 = 4286420^2 + 1393099^2 .

It is a cyclic number.

It is not a de Polignac number, because 20314121240201 - 26 = 20314121240137 is a prime.

It is not a weakly prime, because it can be changed into another prime (20314121240261) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10157060620100 + 10157060620101.

It is an arithmetic number, because the mean of its divisors is an integer number (10157060620101).

Almost surely, 220314121240201 is an apocalyptic number.

It is an amenable number.

20314121240201 is a deficient number, since it is larger than the sum of its proper divisors (1).

20314121240201 is an equidigital number, since it uses as much as digits as its factorization.

20314121240201 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 768, while the sum is 23.

Adding to 20314121240201 its reverse (10204212141302), we get a palindrome (30518333381503).

The spelling of 20314121240201 in words is "twenty trillion, three hundred fourteen billion, one hundred twenty-one million, two hundred forty thousand, two hundred one".