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46102666575101 is a prime number
BaseRepresentation
bin10100111101110000111010…
…00100000111110011111101
320001020101001002201221211012
422132320131010013303331
522020321230120400401
6242015134520205005
712465544025044643
oct1236703504076375
9201211032657735
1046102666575101
11137650384299a4
125207009909765
131c95602a19886
14b5554953b193
1554e3820708bb
hex29ee1d107cfd

46102666575101 has 2 divisors, whose sum is σ = 46102666575102. Its totient is φ = 46102666575100.

The previous prime is 46102666575083. The next prime is 46102666575103. The reversal of 46102666575101 is 10157566620164.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 29892790804900 + 16209875770201 = 5467430^2 + 4026149^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-46102666575101 is a prime.

Together with 46102666575103, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 46102666575101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (46102666575103) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 23051333287550 + 23051333287551.

It is an arithmetic number, because the mean of its divisors is an integer number (23051333287551).

Almost surely, 246102666575101 is an apocalyptic number.

It is an amenable number.

46102666575101 is a deficient number, since it is larger than the sum of its proper divisors (1).

46102666575101 is an equidigital number, since it uses as much as digits as its factorization.

46102666575101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1814400, while the sum is 50.

The spelling of 46102666575101 in words is "forty-six trillion, one hundred two billion, six hundred sixty-six million, five hundred seventy-five thousand, one hundred one".