Search a number
-
+
201001321012097 is a prime number
BaseRepresentation
bin101101101100111101000100…
…010101101001101110000001
3222100200112112122202211222102
4231230331010111221232001
5202321201201134341342
61551254422045520145
760223603053430004
oct5554750425515601
9870615478684872
10201001321012097
11590551aa688181
121a66349b873055
13882046013b688
14378c73169b53b
15183878b796832
hexb6cf44569b81

201001321012097 has 2 divisors, whose sum is σ = 201001321012098. Its totient is φ = 201001321012096.

The previous prime is 201001321012091. The next prime is 201001321012153. The reversal of 201001321012097 is 790210123100102.

201001321012097 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 199803907310401 + 1197413701696 = 14135201^2 + 1094264^2 .

It is a cyclic number.

It is not a de Polignac number, because 201001321012097 - 26 = 201001321012033 is a prime.

It is a super-3 number, since 3×2010013210120973 (a number of 44 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (201001321012091) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 100500660506048 + 100500660506049.

It is an arithmetic number, because the mean of its divisors is an integer number (100500660506049).

Almost surely, 2201001321012097 is an apocalyptic number.

It is an amenable number.

201001321012097 is a deficient number, since it is larger than the sum of its proper divisors (1).

201001321012097 is an equidigital number, since it uses as much as digits as its factorization.

201001321012097 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1512, while the sum is 29.

Adding to 201001321012097 its reverse (790210123100102), we get a palindrome (991211444112199).

The spelling of 201001321012097 in words is "two hundred one trillion, one billion, three hundred twenty-one million, twelve thousand, ninety-seven".