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20314432311137 is a prime number
BaseRepresentation
bin1001001111001110100101…
…00001011000111101100001
32122221001002201022220100222
410213213102201120331201
510130312424132424022
6111112153225452425
74164445366410146
oct447472241307541
978831081286328
1020314432311137
1165223364972a8
1223410a6341115
13b44848166a03
1450331c04c3cd
152536595c0242
hex1279d2858f61

20314432311137 has 2 divisors, whose sum is σ = 20314432311138. Its totient is φ = 20314432311136.

The previous prime is 20314432311073. The next prime is 20314432311191. The reversal of 20314432311137 is 73111323441302.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 12775541855521 + 7538890455616 = 3574289^2 + 2745704^2 .

It is a cyclic number.

It is not a de Polignac number, because 20314432311137 - 26 = 20314432311073 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 20314432311097 and 20314432311106.

It is not a weakly prime, because it can be changed into another prime (20314432311737) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10157216155568 + 10157216155569.

It is an arithmetic number, because the mean of its divisors is an integer number (10157216155569).

Almost surely, 220314432311137 is an apocalyptic number.

It is an amenable number.

20314432311137 is a deficient number, since it is larger than the sum of its proper divisors (1).

20314432311137 is an equidigital number, since it uses as much as digits as its factorization.

20314432311137 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 36288, while the sum is 35.

Adding to 20314432311137 its reverse (73111323441302), we get a palindrome (93425755752439).

The spelling of 20314432311137 in words is "twenty trillion, three hundred fourteen billion, four hundred thirty-two million, three hundred eleven thousand, one hundred thirty-seven".