Search a number
-
+
3132135337 is a prime number
BaseRepresentation
bin1011101010110000…
…1001011110101001
322002021122221221111
42322230021132221
522403311312322
61234444310321
7140421465622
oct27254113651
98067587844
103132135337
111368010701
12734b423a1
133abb99c26
14219da0a49
15134e95177
hexbab097a9

3132135337 has 2 divisors, whose sum is σ = 3132135338. Its totient is φ = 3132135336.

The previous prime is 3132135311. The next prime is 3132135361. The reversal of 3132135337 is 7335312313.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 3084580521 + 47554816 = 55539^2 + 6896^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-3132135337 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 3132135299 and 3132135308.

It is not a weakly prime, because it can be changed into another prime (3132135637) 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, 1566067668 + 1566067669.

It is an arithmetic number, because the mean of its divisors is an integer number (1566067669).

Almost surely, 23132135337 is an apocalyptic number.

It is an amenable number.

3132135337 is a deficient number, since it is larger than the sum of its proper divisors (1).

3132135337 is an equidigital number, since it uses as much as digits as its factorization.

3132135337 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 17010, while the sum is 31.

The square root of 3132135337 is about 55965.4834429222. The cubic root of 3132135337 is about 1463.1207620417.

The spelling of 3132135337 in words is "three billion, one hundred thirty-two million, one hundred thirty-five thousand, three hundred thirty-seven".