Search a number
-
+
102231020132201 is a prime number
BaseRepresentation
bin10111001111101010000011…
…101000111101011101101001
3111101222012010120022001102102
4113033222003220331131221
5101344423112123212301
61001232140550543145
730350642660313452
oct2717520350753551
9441865116261372
10102231020132201
112a634a28786654
12b571081967ab5
13450746152a09c
141b3601749a129
15bc43e41a6b6b
hex5cfa83a3d769

102231020132201 has 2 divisors, whose sum is σ = 102231020132202. Its totient is φ = 102231020132200.

The previous prime is 102231020132147. The next prime is 102231020132209.

102231020132201 is nontrivially palindromic in base 10.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 101984953537600 + 246066594601 = 10098760^2 + 496051^2 .

It is a palprime.

It is a cyclic number.

It is not a de Polignac number, because 102231020132201 - 214 = 102231020115817 is a prime.

It is a super-3 number, since 3×1022310201322013 (a number of 43 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (102231020132209) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51115510066100 + 51115510066101.

It is an arithmetic number, because the mean of its divisors is an integer number (51115510066101).

Almost surely, 2102231020132201 is an apocalyptic number.

It is an amenable number.

102231020132201 is a deficient number, since it is larger than the sum of its proper divisors (1).

102231020132201 is an equidigital number, since it uses as much as digits as its factorization.

102231020132201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 288, while the sum is 20.

The spelling of 102231020132201 in words is "one hundred two trillion, two hundred thirty-one billion, twenty million, one hundred thirty-two thousand, two hundred one".