Search a number
-
+
12131116117 is a prime number
BaseRepresentation
bin10110100110001001…
…00010010001010101
31011022102211112211221
423103010202101111
5144321031203432
65323431530341
7606422533321
oct132304422125
934272745757
1012131116117
1151657760aa
1224268299b1
1311b4381323
148311cc981
154b001eb97
hex2d3122455

12131116117 has 2 divisors, whose sum is σ = 12131116118. Its totient is φ = 12131116116.

The previous prime is 12131116103. The next prime is 12131116133. The reversal of 12131116117 is 71161113121.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 11950643761 + 180472356 = 109319^2 + 13434^2 .

It is a cyclic number.

It is not a de Polignac number, because 12131116117 - 219 = 12130591829 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12131116091 and 12131116100.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12131116157) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6065558058 + 6065558059.

It is an arithmetic number, because the mean of its divisors is an integer number (6065558059).

Almost surely, 212131116117 is an apocalyptic number.

It is an amenable number.

12131116117 is a deficient number, since it is larger than the sum of its proper divisors (1).

12131116117 is an equidigital number, since it uses as much as digits as its factorization.

12131116117 is an evil number, because the sum of its binary digits is even.

The product of its digits is 252, while the sum is 25.

Adding to 12131116117 its reverse (71161113121), we get a palindrome (83292229238).

The spelling of 12131116117 in words is "twelve billion, one hundred thirty-one million, one hundred sixteen thousand, one hundred seventeen".