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105402020329 is a prime number
BaseRepresentation
bin110001000101001110…
…0110011000111101001
3101002001122111102000201
41202022130303013221
53211330404122304
6120230535032201
710420650250624
oct1421234630751
9332048442021
10105402020329
1140778768a11
1218516b0b661
139c29a39388
14515c690dbb
152b1d6033a4
hex188a7331e9

105402020329 has 2 divisors, whose sum is σ = 105402020330. Its totient is φ = 105402020328.

The previous prime is 105402020327. The next prime is 105402020473. The reversal of 105402020329 is 923020204501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 64692905104 + 40709115225 = 254348^2 + 201765^2 .

It is a cyclic number.

It is not a de Polignac number, because 105402020329 - 21 = 105402020327 is a prime.

It is a super-2 number, since 2×1054020203292 (a number of 23 digits) contains 22 as substring.

Together with 105402020327, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 105402020297 and 105402020306.

It is not a weakly prime, because it can be changed into another prime (105402020327) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52701010164 + 52701010165.

It is an arithmetic number, because the mean of its divisors is an integer number (52701010165).

Almost surely, 2105402020329 is an apocalyptic number.

It is an amenable number.

105402020329 is a deficient number, since it is larger than the sum of its proper divisors (1).

105402020329 is an equidigital number, since it uses as much as digits as its factorization.

105402020329 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4320, while the sum is 28.

The spelling of 105402020329 in words is "one hundred five billion, four hundred two million, twenty thousand, three hundred twenty-nine".