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312132104201069 is a prime number
BaseRepresentation
bin100011011111000011110101…
…1001100011010001101101101
31111221011112112000101102111022
41012332013223030122031231
5311402433022133413234
63023503301545503525
7122513541342621665
oct10676075314321555
91457145460342438
10312132104201069
11905005336108a9
122b0113621a1ba5
1310521c148c82c9
1457113bb1411a5
1526144141d9e2e
hex11be1eb31a36d

312132104201069 has 2 divisors, whose sum is σ = 312132104201070. Its totient is φ = 312132104201068.

The previous prime is 312132104201009. The next prime is 312132104201087. The reversal of 312132104201069 is 960102401231213.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 243545300859844 + 68586803341225 = 15605938^2 + 8281715^2 .

It is an emirp because it is prime and its reverse (960102401231213) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-312132104201069 is a prime.

It is a super-2 number, since 2×3121321042010692 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (312132104201009) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156066052100534 + 156066052100535.

It is an arithmetic number, because the mean of its divisors is an integer number (156066052100535).

Almost surely, 2312132104201069 is an apocalyptic number.

It is an amenable number.

312132104201069 is a deficient number, since it is larger than the sum of its proper divisors (1).

312132104201069 is an equidigital number, since it uses as much as digits as its factorization.

312132104201069 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 15552, while the sum is 35.

The spelling of 312132104201069 in words is "three hundred twelve trillion, one hundred thirty-two billion, one hundred four million, two hundred one thousand, sixty-nine".