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311020212029 is a prime number
BaseRepresentation
bin1001000011010100011…
…11111100111100111101
31002201210112101210200012
410201222033330330331
520043432133241104
6354514122313005
731320241116362
oct4415217747475
91081715353605
10311020212029
1110a9a288a74a
1250340058765
1323437cb2027
14110a6994469
158154de1d6e
hex486a3fcf3d

311020212029 has 2 divisors, whose sum is σ = 311020212030. Its totient is φ = 311020212028.

The previous prime is 311020211959. The next prime is 311020212031. The reversal of 311020212029 is 920212020113.

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., 284597709529 + 26422502500 = 533477^2 + 162550^2 .

It is a cyclic number.

It is not a de Polignac number, because 311020212029 - 224 = 311003434813 is a prime.

Together with 311020212031, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 311020211995 and 311020212013.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (311020262029) 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, 155510106014 + 155510106015.

It is an arithmetic number, because the mean of its divisors is an integer number (155510106015).

Almost surely, 2311020212029 is an apocalyptic number.

It is an amenable number.

311020212029 is a deficient number, since it is larger than the sum of its proper divisors (1).

311020212029 is an equidigital number, since it uses as much as digits as its factorization.

311020212029 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 432, while the sum is 23.

The spelling of 311020212029 in words is "three hundred eleven billion, twenty million, two hundred twelve thousand, twenty-nine".