Search a number
-
+
102406022145017 is a prime number
BaseRepresentation
bin10111010010001101000010…
…100100101010001111111001
3111102120220211202110102011122
4113102031002210222033321
5101410310013132120032
61001444402131235025
730366406460011403
oct2722150244521771
9442526752412148
10102406022145017
112a6a2171866008
12b59ab81748a75
13451ab00868c66
141b40699599b73
15bc8c37c05012
hex5d234292a3f9

102406022145017 has 2 divisors, whose sum is σ = 102406022145018. Its totient is φ = 102406022145016.

The previous prime is 102406022144887. The next prime is 102406022145061. The reversal of 102406022145017 is 710541220604201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 62384975309056 + 40021046835961 = 7898416^2 + 6326219^2 .

It is a cyclic number.

It is not a de Polignac number, because 102406022145017 - 214 = 102406022128633 is a prime.

It is not a weakly prime, because it can be changed into another prime (102406021145017) 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, 51203011072508 + 51203011072509.

It is an arithmetic number, because the mean of its divisors is an integer number (51203011072509).

Almost surely, 2102406022145017 is an apocalyptic number.

It is an amenable number.

102406022145017 is a deficient number, since it is larger than the sum of its proper divisors (1).

102406022145017 is an equidigital number, since it uses as much as digits as its factorization.

102406022145017 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 26880, while the sum is 35.

Adding to 102406022145017 its reverse (710541220604201), we get a palindrome (812947242749218).

The spelling of 102406022145017 in words is "one hundred two trillion, four hundred six billion, twenty-two million, one hundred forty-five thousand, seventeen".