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312210222029 is a prime number
BaseRepresentation
bin1001000101100010010…
…11011110101111001101
31002211212110121120111122
410202301023132233031
520103401304101104
6355232152330325
731361601046316
oct4426113365715
91084773546448
10312210222029
11110453592892
12506126a39a5
13235976b9364
141117aa4360d
1581c46076be
hex48b12debcd

312210222029 has 2 divisors, whose sum is σ = 312210222030. Its totient is φ = 312210222028.

The previous prime is 312210222019. The next prime is 312210222053. The reversal of 312210222029 is 920222012213.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 246638377129 + 65571844900 = 496627^2 + 256070^2 .

It is a cyclic number.

It is not a de Polignac number, because 312210222029 - 216 = 312210156493 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 312210221989 and 312210222007.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (312210222019) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156105111014 + 156105111015.

It is an arithmetic number, because the mean of its divisors is an integer number (156105111015).

Almost surely, 2312210222029 is an apocalyptic number.

It is an amenable number.

312210222029 is a deficient number, since it is larger than the sum of its proper divisors (1).

312210222029 is an equidigital number, since it uses as much as digits as its factorization.

312210222029 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1728, while the sum is 26.

The spelling of 312210222029 in words is "three hundred twelve billion, two hundred ten million, two hundred twenty-two thousand, twenty-nine".