Search a number
-
+
312431153 is a prime number
BaseRepresentation
bin10010100111110…
…101001000110001
3210202220010222012
4102213311020301
51114440244103
651000252305
710512422666
oct2247651061
9722803865
10312431153
111503a5171
1288771095
134c961108
142d6cba6d
151c6672d8
hex129f5231

312431153 has 2 divisors, whose sum is σ = 312431154. Its totient is φ = 312431152.

The previous prime is 312431143. The next prime is 312431179. The reversal of 312431153 is 351134213.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 247338529 + 65092624 = 15727^2 + 8068^2 .

It is an emirp because it is prime and its reverse (351134213) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 312431153 - 26 = 312431089 is a prime.

It is a super-2 number, since 2×3124311532 = 195226450729818818, which contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (312431143) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156215576 + 156215577.

It is an arithmetic number, because the mean of its divisors is an integer number (156215577).

Almost surely, 2312431153 is an apocalyptic number.

It is an amenable number.

312431153 is a deficient number, since it is larger than the sum of its proper divisors (1).

312431153 is an equidigital number, since it uses as much as digits as its factorization.

312431153 is an evil number, because the sum of its binary digits is even.

The product of its digits is 1080, while the sum is 23.

The square root of 312431153 is about 17675.7221351774. The cubic root of 312431153 is about 678.5545659527.

Adding to 312431153 its reverse (351134213), we get a palindrome (663565366).

The spelling of 312431153 in words is "three hundred twelve million, four hundred thirty-one thousand, one hundred fifty-three".