Search a number
-
+
312132311269297 is a prime number
BaseRepresentation
bin100011011111000011111011…
…1100010010011111110110001
31111221011120001110000120200221
41012332013313202103332301
5311402433433141104142
63023503334304013041
7122513546435645311
oct10676076742237661
91457146043016627
10312132311269297
119050062a491272
122b0113bb601181
1310521c4878889c
1457113da843441
15261442748d767
hex11be1f7893fb1

312132311269297 has 2 divisors, whose sum is σ = 312132311269298. Its totient is φ = 312132311269296.

The previous prime is 312132311269291. The next prime is 312132311269319. The reversal of 312132311269297 is 792962113231213.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 302707141107361 + 9425170161936 = 17398481^2 + 3070044^2 .

It is an emirp because it is prime and its reverse (792962113231213) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 312132311269297 - 219 = 312132310745009 is a prime.

It is not a weakly prime, because it can be changed into another prime (312132311269291) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156066155634648 + 156066155634649.

It is an arithmetic number, because the mean of its divisors is an integer number (156066155634649).

Almost surely, 2312132311269297 is an apocalyptic number.

It is an amenable number.

312132311269297 is a deficient number, since it is larger than the sum of its proper divisors (1).

312132311269297 is an equidigital number, since it uses as much as digits as its factorization.

312132311269297 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1469664, while the sum is 52.

The spelling of 312132311269297 in words is "three hundred twelve trillion, one hundred thirty-two billion, three hundred eleven million, two hundred sixty-nine thousand, two hundred ninety-seven".