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312221011373 is a prime number
BaseRepresentation
bin1001000101100011101…
…00101000110110101101
31002211220012220201200222
410202301310220312231
520103412034330443
6355233215501125
731362061544165
oct4426164506655
91084805821628
10312221011373
11110459691aa7
12506162277a5
13235999c629b
141117c2515a5
1581c5539468
hex48b1d28dad

312221011373 has 2 divisors, whose sum is σ = 312221011374. Its totient is φ = 312221011372.

The previous prime is 312221011261. The next prime is 312221011393. The reversal of 312221011373 is 373110122213.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 183309853609 + 128911157764 = 428147^2 + 359042^2 .

It is a cyclic number.

It is not a de Polignac number, because 312221011373 - 220 = 312219962797 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (312221011393) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156110505686 + 156110505687.

It is an arithmetic number, because the mean of its divisors is an integer number (156110505687).

Almost surely, 2312221011373 is an apocalyptic number.

It is an amenable number.

312221011373 is a deficient number, since it is larger than the sum of its proper divisors (1).

312221011373 is an equidigital number, since it uses as much as digits as its factorization.

312221011373 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1512, while the sum is 26.

Adding to 312221011373 its reverse (373110122213), we get a palindrome (685331133586).

The spelling of 312221011373 in words is "three hundred twelve billion, two hundred twenty-one million, eleven thousand, three hundred seventy-three".