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10042123197341 is a prime number
BaseRepresentation
bin1001001000100001110100…
…1011111001101110011101
31022120000110211110101112102
42102020131023321232131
52304012232014303331
633205142051214445
72054343113535644
oct222103513715635
938500424411472
1010042123197341
113221927824704
1211622928a7425
1357ac7805b471
1426a0816a435b
151263430254cb
hex9221d2f9b9d

10042123197341 has 2 divisors, whose sum is σ = 10042123197342. Its totient is φ = 10042123197340.

The previous prime is 10042123197313. The next prime is 10042123197343. The reversal of 10042123197341 is 14379132124001.

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., 9988602225625 + 53520971716 = 3160475^2 + 231346^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10042123197341 is a prime.

Together with 10042123197343, 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 = 10042123197295 and 10042123197304.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10042123197343) 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, 5021061598670 + 5021061598671.

It is an arithmetic number, because the mean of its divisors is an integer number (5021061598671).

Almost surely, 210042123197341 is an apocalyptic number.

It is an amenable number.

10042123197341 is a deficient number, since it is larger than the sum of its proper divisors (1).

10042123197341 is an equidigital number, since it uses as much as digits as its factorization.

10042123197341 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 36288, while the sum is 38.

The spelling of 10042123197341 in words is "ten trillion, forty-two billion, one hundred twenty-three million, one hundred ninety-seven thousand, three hundred forty-one".