Search a number
-
+
312031123203221 is a prime number
BaseRepresentation
bin100011011110010100110100…
…0010000011110010010010101
31111220210212212110211020011222
41012330221220100132102111
5311344304220020000341
63023345041420340125
7122503335054404312
oct10674515020362225
91456725773736158
10312031123203221
1190471724460584
122abb587b9a4645
1310515540aa2886
14570a55babbd09
1526119a3cc444b
hex11bca6841e495

312031123203221 has 2 divisors, whose sum is σ = 312031123203222. Its totient is φ = 312031123203220.

The previous prime is 312031123203161. The next prime is 312031123203251. The reversal of 312031123203221 is 122302321130213.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 285413520602596 + 26617602600625 = 16894186^2 + 5159225^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-312031123203221 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (312031123203251) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156015561601610 + 156015561601611.

It is an arithmetic number, because the mean of its divisors is an integer number (156015561601611).

Almost surely, 2312031123203221 is an apocalyptic number.

It is an amenable number.

312031123203221 is a deficient number, since it is larger than the sum of its proper divisors (1).

312031123203221 is an equidigital number, since it uses as much as digits as its factorization.

312031123203221 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2592, while the sum is 26.

Adding to 312031123203221 its reverse (122302321130213), we get a palindrome (434333444333434).

The spelling of 312031123203221 in words is "three hundred twelve trillion, thirty-one billion, one hundred twenty-three million, two hundred three thousand, two hundred twenty-one".