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93010010101 is a prime number
BaseRepresentation
bin101011010011111010…
…1000001111111110101
322220002000202001201221
41112213311001333311
53010441030310401
6110421143150341
76501606020131
oct1264765017765
9286060661657
1093010010101
11364997a9248
1216038a453b1
138a035ccb48
14470498c3c1
15264574b7a1
hex15a7d41ff5

93010010101 has 2 divisors, whose sum is σ = 93010010102. Its totient is φ = 93010010100.

The previous prime is 93010010099. The next prime is 93010010213. The reversal of 93010010101 is 10101001039.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 89631378225 + 3378631876 = 299385^2 + 58126^2 .

It is a cyclic number.

It is not a de Polignac number, because 93010010101 - 21 = 93010010099 is a prime.

Together with 93010010099, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (93010013101) 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, 46505005050 + 46505005051.

It is an arithmetic number, because the mean of its divisors is an integer number (46505005051).

Almost surely, 293010010101 is an apocalyptic number.

It is an amenable number.

93010010101 is a deficient number, since it is larger than the sum of its proper divisors (1).

93010010101 is an equidigital number, since it uses as much as digits as its factorization.

93010010101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 27, while the sum is 16.

The spelling of 93010010101 in words is "ninety-three billion, ten million, ten thousand, one hundred one".