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36312288241 is a prime number
BaseRepresentation
bin100001110100011000…
…011000101111110001
310110201122222100222111
4201310120120233301
51043331421210431
624403122205321
72423565233365
oct416430305761
9113648870874
1036312288241
1114444381679
127054ab3841
133569071bb8
141a869092a5
15e27d9b7b1
hex874618bf1

36312288241 has 2 divisors, whose sum is σ = 36312288242. Its totient is φ = 36312288240.

The previous prime is 36312288191. The next prime is 36312288281. The reversal of 36312288241 is 14288221363.

It is an a-pointer prime, because the next prime (36312288281) can be obtained adding 36312288241 to its sum of digits (40).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 21672256225 + 14640032016 = 147215^2 + 120996^2 .

It is a cyclic number.

It is not a de Polignac number, because 36312288241 - 29 = 36312287729 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 36312288194 and 36312288203.

It is not a weakly prime, because it can be changed into another prime (36312288281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 18156144120 + 18156144121.

It is an arithmetic number, because the mean of its divisors is an integer number (18156144121).

Almost surely, 236312288241 is an apocalyptic number.

It is an amenable number.

36312288241 is a deficient number, since it is larger than the sum of its proper divisors (1).

36312288241 is an equidigital number, since it uses as much as digits as its factorization.

36312288241 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 110592, while the sum is 40.

The spelling of 36312288241 in words is "thirty-six billion, three hundred twelve million, two hundred eighty-eight thousand, two hundred forty-one".