Search a number
-
+
312332100173 is a prime number
BaseRepresentation
bin1001000101110000111…
…00011010001001001101
31002212011221221121212222
410202320130122021031
520104124004201143
6355252224505125
731364611022222
oct4427034321115
91085157847788
10312332100173
11110506367725
125064747b1a5
13235b6a200c2
141118cccb949
1581d017e768
hex48b871a24d

312332100173 has 2 divisors, whose sum is σ = 312332100174. Its totient is φ = 312332100172.

The previous prime is 312332100103. The next prime is 312332100239. The reversal of 312332100173 is 371001233213.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 166906565764 + 145425534409 = 408542^2 + 381347^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-312332100173 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (312332100103) 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, 156166050086 + 156166050087.

It is an arithmetic number, because the mean of its divisors is an integer number (156166050087).

Almost surely, 2312332100173 is an apocalyptic number.

It is an amenable number.

312332100173 is a deficient number, since it is larger than the sum of its proper divisors (1).

312332100173 is an equidigital number, since it uses as much as digits as its factorization.

312332100173 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2268, while the sum is 26.

Adding to 312332100173 its reverse (371001233213), we get a palindrome (683333333386).

The spelling of 312332100173 in words is "three hundred twelve billion, three hundred thirty-two million, one hundred thousand, one hundred seventy-three".