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312141433102321 is a prime number
BaseRepresentation
bin100011011111001000001011…
…1001111010101111111110001
31111221012102121011100201012111
41012332100113033111333301
5311403111123333233241
63023511443400325321
7122514321461153554
oct10676202717257761
91457172534321174
10312141433102321
1190504490526449
122b013126473841
1310522a70555214
145711a240d069b
1526147ad1d3c81
hex11be4173d5ff1

312141433102321 has 2 divisors, whose sum is σ = 312141433102322. Its totient is φ = 312141433102320.

The previous prime is 312141433102309. The next prime is 312141433102439. The reversal of 312141433102321 is 123201334141213.

Adding to 312141433102321 its reverse (123201334141213), we get a palindrome (435342767243534).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 293228327935921 + 18913105166400 = 17123911^2 + 4348920^2 .

It is a cyclic number.

It is not a de Polignac number, because 312141433102321 - 239 = 311591677288433 is a prime.

It is a super-2 number, since 2×3121414331023212 (a number of 30 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (312141433103321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156070716551160 + 156070716551161.

It is an arithmetic number, because the mean of its divisors is an integer number (156070716551161).

Almost surely, 2312141433102321 is an apocalyptic number.

It is an amenable number.

312141433102321 is a deficient number, since it is larger than the sum of its proper divisors (1).

312141433102321 is an equidigital number, since it uses as much as digits as its factorization.

312141433102321 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 10368, while the sum is 31.

The spelling of 312141433102321 in words is "three hundred twelve trillion, one hundred forty-one billion, four hundred thirty-three million, one hundred two thousand, three hundred twenty-one".