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312141133 is a prime number
BaseRepresentation
bin10010100110101…
…110010101001101
3210202100102010201
4102212232111031
51114402004013
650550133501
710510104313
oct2246562515
9722312121
10312141133
11150217287
1288651291
134c88c0c5
142d6540b3
151c60b3dd
hex129ae54d

312141133 has 2 divisors, whose sum is σ = 312141134. Its totient is φ = 312141132.

The previous prime is 312141113. The next prime is 312141161. The reversal of 312141133 is 331141213.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 158306724 + 153834409 = 12582^2 + 12403^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-312141133 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 312141133.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (312141103) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156070566 + 156070567.

It is an arithmetic number, because the mean of its divisors is an integer number (156070567).

Almost surely, 2312141133 is an apocalyptic number.

It is an amenable number.

312141133 is a deficient number, since it is larger than the sum of its proper divisors (1).

312141133 is an equidigital number, since it uses as much as digits as its factorization.

312141133 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 216, while the sum is 19.

The square root of 312141133 is about 17667.5163223357. The cubic root of 312141133 is about 678.3445406747.

Adding to 312141133 its reverse (331141213), we get a palindrome (643282346).

The spelling of 312141133 in words is "three hundred twelve million, one hundred forty-one thousand, one hundred thirty-three".