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3631146133 is a prime number
BaseRepresentation
bin1101100001101110…
…1110010010010101
3100101001122100001211
43120123232102111
524414033134013
61400152021421
7155661142606
oct33033562225
910331570054
103631146133
1115a376191a
12854091871
1345b3969a4
14266379dad
15163bb523d
hexd86ee495

3631146133 has 2 divisors, whose sum is σ = 3631146134. Its totient is φ = 3631146132.

The previous prime is 3631146097. The next prime is 3631146179. The reversal of 3631146133 is 3316411363.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2586434449 + 1044711684 = 50857^2 + 32322^2 .

It is a cyclic number.

It is not a de Polignac number, because 3631146133 - 221 = 3629048981 is a prime.

It is a super-3 number, since 3×36311461333 (a number of 30 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3631146095 and 3631146104.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (3631140133) 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, 1815573066 + 1815573067.

It is an arithmetic number, because the mean of its divisors is an integer number (1815573067).

Almost surely, 23631146133 is an apocalyptic number.

It is an amenable number.

3631146133 is a deficient number, since it is larger than the sum of its proper divisors (1).

3631146133 is an equidigital number, since it uses as much as digits as its factorization.

3631146133 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 11664, while the sum is 31.

The square root of 3631146133 is about 60258.9921339546. The cubic root of 3631146133 is about 1537.0261004750.

Adding to 3631146133 its reverse (3316411363), we get a palindrome (6947557496).

The spelling of 3631146133 in words is "three billion, six hundred thirty-one million, one hundred forty-six thousand, one hundred thirty-three".