Search a number
-
+
102163737236273 is a prime number
BaseRepresentation
bin10111001110101011011001…
…010001000101001100110001
3111101201202110111122210121222
4113032223121101011030301
5101342322313213030043
61001141212320554425
730343041435165146
oct2716533121051461
9441652414583558
10102163737236273
112a6094412a3039
12b560024a82a15
134500ccaca742b
141b32a7368a3cd
15bc27a73a8d68
hex5cead9445331

102163737236273 has 2 divisors, whose sum is σ = 102163737236274. Its totient is φ = 102163737236272.

The previous prime is 102163737236221. The next prime is 102163737236377. The reversal of 102163737236273 is 372632737361201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 68738492193424 + 33425245042849 = 8290868^2 + 5781457^2 .

It is a cyclic number.

It is not a de Polignac number, because 102163737236273 - 212 = 102163737232177 is a prime.

It is not a weakly prime, because it can be changed into another prime (102163737136273) 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, 51081868618136 + 51081868618137.

It is an arithmetic number, because the mean of its divisors is an integer number (51081868618137).

Almost surely, 2102163737236273 is an apocalyptic number.

It is an amenable number.

102163737236273 is a deficient number, since it is larger than the sum of its proper divisors (1).

102163737236273 is an equidigital number, since it uses as much as digits as its factorization.

102163737236273 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8001504, while the sum is 53.

The spelling of 102163737236273 in words is "one hundred two trillion, one hundred sixty-three billion, seven hundred thirty-seven million, two hundred thirty-six thousand, two hundred seventy-three".