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311130133 is a prime number
BaseRepresentation
bin10010100010110…
…111100000010101
3210200110001022021
4102202313200111
51114122131013
650512333141
710465363636
oct2242674025
9720401267
10311130133
1114a696746
12882441b1
134c5c6b92
142d46d88d
151c4aba8d
hex128b7815

311130133 has 2 divisors, whose sum is σ = 311130134. Its totient is φ = 311130132.

The previous prime is 311130049. The next prime is 311130173. The reversal of 311130133 is 331031113.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 279792529 + 31337604 = 16727^2 + 5598^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-311130133 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (311130173) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 155565066 + 155565067.

It is an arithmetic number, because the mean of its divisors is an integer number (155565067).

Almost surely, 2311130133 is an apocalyptic number.

It is an amenable number.

311130133 is a deficient number, since it is larger than the sum of its proper divisors (1).

311130133 is an equidigital number, since it uses as much as digits as its factorization.

311130133 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 81, while the sum is 16.

The square root of 311130133 is about 17638.8812853877. The cubic root of 311130133 is about 677.6113807703.

Adding to 311130133 its reverse (331031113), we get a palindrome (642161246).

The spelling of 311130133 in words is "three hundred eleven million, one hundred thirty thousand, one hundred thirty-three".