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1303123312277 is a prime number
BaseRepresentation
bin10010111101101000001…
…100111011111010010101
311121120120220102011012122
4102331220030323322111
5132322244031443102
62434351355025325
7163101416252153
oct22755014737225
94546526364178
101303123312277
11462719156a06
1219067943b245
1395b651c5407
14471002d03d3
1523d6d2260a2
hex12f6833be95

1303123312277 has 2 divisors, whose sum is σ = 1303123312278. Its totient is φ = 1303123312276.

The previous prime is 1303123312273. The next prime is 1303123312411. The reversal of 1303123312277 is 7722133213031.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 681361098916 + 621762213361 = 825446^2 + 788519^2 .

It is a cyclic number.

It is not a de Polignac number, because 1303123312277 - 22 = 1303123312273 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1303123312273) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 651561656138 + 651561656139.

It is an arithmetic number, because the mean of its divisors is an integer number (651561656139).

Almost surely, 21303123312277 is an apocalyptic number.

It is an amenable number.

1303123312277 is a deficient number, since it is larger than the sum of its proper divisors (1).

1303123312277 is an equidigital number, since it uses as much as digits as its factorization.

1303123312277 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 31752, while the sum is 35.

The spelling of 1303123312277 in words is "one trillion, three hundred three billion, one hundred twenty-three million, three hundred twelve thousand, two hundred seventy-seven".