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100303412201 is a prime number
BaseRepresentation
bin101110101101010001…
…1001001101111101001
3100120220022120021112122
41131122203021233221
53120410133142301
6114025002121025
710150416636116
oct1353243115751
9316808507478
10100303412201
11395a1730193
12175334b0175
1395c66336a5
144bd748190d
152920bbe81b
hex175a8c9be9

100303412201 has 2 divisors, whose sum is σ = 100303412202. Its totient is φ = 100303412200.

The previous prime is 100303412177. The next prime is 100303412203. The reversal of 100303412201 is 102214303001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 99744798976 + 558613225 = 315824^2 + 23635^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-100303412201 is a prime.

It is a Sophie Germain prime.

Together with 100303412203, it forms a pair of twin primes.

It is a Chen prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 100303412201.

It is not a weakly prime, because it can be changed into another prime (100303412203) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50151706100 + 50151706101.

It is an arithmetic number, because the mean of its divisors is an integer number (50151706101).

Almost surely, 2100303412201 is an apocalyptic number.

It is an amenable number.

100303412201 is a deficient number, since it is larger than the sum of its proper divisors (1).

100303412201 is an equidigital number, since it uses as much as digits as its factorization.

100303412201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 100303412201 its reverse (102214303001), we get a palindrome (202517715202).

The spelling of 100303412201 in words is "one hundred billion, three hundred three million, four hundred twelve thousand, two hundred one".