Search a number
-
+
312330101 is a prime number
BaseRepresentation
bin10010100111011…
…100011101110101
3210202201000100112
4102213130131311
51114424030401
650554152405
710511522246
oct2247343565
9722630315
10312330101
11150336256
1288722705
134c927115
142d6a2ccd
151c6473bb
hex129dc775

312330101 has 2 divisors, whose sum is σ = 312330102. Its totient is φ = 312330100.

The previous prime is 312330059. The next prime is 312330107. The reversal of 312330101 is 101033213.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 273902500 + 38427601 = 16550^2 + 6199^2 .

It is a cyclic number.

It is not a de Polignac number, because 312330101 - 210 = 312329077 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (312330107) 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, 156165050 + 156165051.

It is an arithmetic number, because the mean of its divisors is an integer number (156165051).

Almost surely, 2312330101 is an apocalyptic number.

It is an amenable number.

312330101 is a deficient number, since it is larger than the sum of its proper divisors (1).

312330101 is an equidigital number, since it uses as much as digits as its factorization.

312330101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 54, while the sum is 14.

The square root of 312330101 is about 17672.8634069298. The cubic root of 312330101 is about 678.4814013645.

Adding to 312330101 its reverse (101033213), we get a palindrome (413363314).

The spelling of 312330101 in words is "three hundred twelve million, three hundred thirty thousand, one hundred one".