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36131113 is a prime number
BaseRepresentation
bin1000100111010…
…1000100101001
32111222122120101
42021311010221
533222143423
63330225401
7616052344
oct211650451
974878511
1036131113
1119438927
1210125261
137640875
144b2745b
15328a7ad
hex2275129

36131113 has 2 divisors, whose sum is σ = 36131114. Its totient is φ = 36131112.

The previous prime is 36131111. The next prime is 36131149. The reversal of 36131113 is 31113163.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 35617024 + 514089 = 5968^2 + 717^2 .

It is a cyclic number.

It is not a de Polignac number, because 36131113 - 21 = 36131111 is a prime.

Together with 36131111, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (36131111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 18065556 + 18065557.

It is an arithmetic number, because the mean of its divisors is an integer number (18065557).

Almost surely, 236131113 is an apocalyptic number.

It is an amenable number.

36131113 is a deficient number, since it is larger than the sum of its proper divisors (1).

36131113 is an equidigital number, since it uses as much as digits as its factorization.

36131113 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 162, while the sum is 19.

The square root of 36131113 is about 6010.9161531334. The cubic root of 36131113 is about 330.5930962529.

Adding to 36131113 its reverse (31113163), we get a palindrome (67244276).

The spelling of 36131113 in words is "thirty-six million, one hundred thirty-one thousand, one hundred thirteen".