Search a number
-
+
100022011217 is a prime number
BaseRepresentation
bin101110100100111000…
…1101100010101010001
3100120011201001121221222
41131021301230111101
53114321113324332
6113541030454425
710140432032102
oct1351161542521
9316151047858
10100022011217
11394678aa497
1217475204415
13958024842b
144babd503a9
152906136712
hex1749c6c551

100022011217 has 2 divisors, whose sum is σ = 100022011218. Its totient is φ = 100022011216.

The previous prime is 100022011211. The next prime is 100022011249. The reversal of 100022011217 is 712110220001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 96175034641 + 3846976576 = 310121^2 + 62024^2 .

It is a cyclic number.

It is not a de Polignac number, because 100022011217 - 214 = 100021994833 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100022011195 and 100022011204.

It is not a weakly prime, because it can be changed into another prime (100022011211) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50011005608 + 50011005609.

It is an arithmetic number, because the mean of its divisors is an integer number (50011005609).

Almost surely, 2100022011217 is an apocalyptic number.

It is an amenable number.

100022011217 is a deficient number, since it is larger than the sum of its proper divisors (1).

100022011217 is an equidigital number, since it uses as much as digits as its factorization.

100022011217 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 56, while the sum is 17.

Adding to 100022011217 its reverse (712110220001), we get a palindrome (812132231218).

The spelling of 100022011217 in words is "one hundred billion, twenty-two million, eleven thousand, two hundred seventeen".