Search a number
-
+
36137383141 is a prime number
BaseRepresentation
bin100001101001111101…
…001011010011100101
310110021110212021021211
4201221331023103211
51043002132230031
624333513311421
72416342455106
oct415175132345
9113243767254
1036137383141
1114364679902
127006405571
13353ba63062
141a6b5ba3ad
15e1784cbb1
hex869f4b4e5

36137383141 has 2 divisors, whose sum is σ = 36137383142. Its totient is φ = 36137383140.

The previous prime is 36137383097. The next prime is 36137383151. The reversal of 36137383141 is 14138373163.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 35092154241 + 1045228900 = 187329^2 + 32330^2 .

It is a cyclic number.

It is not a de Polignac number, because 36137383141 - 217 = 36137252069 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 36137383094 and 36137383103.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (36137383151) 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, 18068691570 + 18068691571.

It is an arithmetic number, because the mean of its divisors is an integer number (18068691571).

Almost surely, 236137383141 is an apocalyptic number.

It is an amenable number.

36137383141 is a deficient number, since it is larger than the sum of its proper divisors (1).

36137383141 is an equidigital number, since it uses as much as digits as its factorization.

36137383141 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 108864, while the sum is 40.

The spelling of 36137383141 in words is "thirty-six billion, one hundred thirty-seven million, three hundred eighty-three thousand, one hundred forty-one".