Search a number
-
+
312103362229 is a prime number
BaseRepresentation
bin1001000101010101100…
…11110101111010110101
31002211121000112112102021
410202222303311322311
520103141430042404
6355213414113141
731356132543601
oct4425263657265
91084530475367
10312103362229
111103a92364aa
12505a294b7b1
132357b5133c9
141116a788501
1581ba04a454
hex48aacf5eb5

312103362229 has 2 divisors, whose sum is σ = 312103362230. Its totient is φ = 312103362228.

The previous prime is 312103362191. The next prime is 312103362257. The reversal of 312103362229 is 922263301213.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 287834396004 + 24268966225 = 536502^2 + 155785^2 .

It is a cyclic number.

It is not a de Polignac number, because 312103362229 - 27 = 312103362101 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 312103362194 and 312103362203.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (312103362029) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156051681114 + 156051681115.

It is an arithmetic number, because the mean of its divisors is an integer number (156051681115).

Almost surely, 2312103362229 is an apocalyptic number.

It is an amenable number.

312103362229 is a deficient number, since it is larger than the sum of its proper divisors (1).

312103362229 is an equidigital number, since it uses as much as digits as its factorization.

312103362229 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 23328, while the sum is 34.

The spelling of 312103362229 in words is "three hundred twelve billion, one hundred three million, three hundred sixty-two thousand, two hundred twenty-nine".