Search a number
-
+
102212001217 is a prime number
BaseRepresentation
bin101111100110001001…
…1110101110111000001
3100202211022220122110201
41133030103311313001
53133312233014332
6114542221525201
710245623450434
oct1371423656701
9322738818421
10102212001217
113a391012387
1217986713801
13983bb837c1
144d38b4381b
1529d35275e7
hex17cc4f5dc1

102212001217 has 2 divisors, whose sum is σ = 102212001218. Its totient is φ = 102212001216.

The previous prime is 102212001193. The next prime is 102212001223. The reversal of 102212001217 is 712100212201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 101924393536 + 287607681 = 319256^2 + 16959^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-102212001217 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 102212001194 and 102212001203.

It is not a weakly prime, because it can be changed into another prime (102212011217) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51106000608 + 51106000609.

It is an arithmetic number, because the mean of its divisors is an integer number (51106000609).

Almost surely, 2102212001217 is an apocalyptic number.

It is an amenable number.

102212001217 is a deficient number, since it is larger than the sum of its proper divisors (1).

102212001217 is an equidigital number, since it uses as much as digits as its factorization.

102212001217 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 112, while the sum is 19.

Adding to 102212001217 its reverse (712100212201), we get a palindrome (814312213418).

The spelling of 102212001217 in words is "one hundred two billion, two hundred twelve million, one thousand, two hundred seventeen".