Search a number
-
+
312124741 is a prime number
BaseRepresentation
bin10010100110101…
…010010101000101
3210202022120122121
4102212222111011
51114400442431
650545525541
710510005445
oct2246522505
9722276577
10312124741
11150205a35
12886438b1
134c8847c6
142d64c125
151c606611
hex129aa545

312124741 has 2 divisors, whose sum is σ = 312124742. Its totient is φ = 312124740.

The previous prime is 312124667. The next prime is 312124763. The reversal of 312124741 is 147421213.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 233447841 + 78676900 = 15279^2 + 8870^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-312124741 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (312128741) 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, 156062370 + 156062371.

It is an arithmetic number, because the mean of its divisors is an integer number (156062371).

Almost surely, 2312124741 is an apocalyptic number.

It is an amenable number.

312124741 is a deficient number, since it is larger than the sum of its proper divisors (1).

312124741 is an equidigital number, since it uses as much as digits as its factorization.

312124741 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1344, while the sum is 25.

The square root of 312124741 is about 17667.0524140276. The cubic root of 312124741 is about 678.3326661120.

Adding to 312124741 its reverse (147421213), we get a palindrome (459545954).

It can be divided in two parts, 31212 and 4741, that added together give a palindrome (35953).

The spelling of 312124741 in words is "three hundred twelve million, one hundred twenty-four thousand, seven hundred forty-one".