Search a number
-
+
101001217 is a prime number
BaseRepresentation
bin1100000010100…
…10100000000001
321001001101121211
412001102200001
5201324014332
614004450121
72334332122
oct601224001
9231041554
10101001217
1152015789
12299a9941
1317c04445
14d5b2049
158d01447
hex6052801

101001217 has 2 divisors, whose sum is σ = 101001218. Its totient is φ = 101001216.

The previous prime is 101001181. The next prime is 101001331. The reversal of 101001217 is 712100101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 65431921 + 35569296 = 8089^2 + 5964^2 .

It is a cyclic number.

It is not a de Polignac number, because 101001217 - 211 = 100999169 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101001197 and 101001206.

It is not a weakly prime, because it can be changed into another prime (101001617) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50500608 + 50500609.

It is an arithmetic number, because the mean of its divisors is an integer number (50500609).

Almost surely, 2101001217 is an apocalyptic number.

It is an amenable number.

101001217 is a deficient number, since it is larger than the sum of its proper divisors (1).

101001217 is an equidigital number, since it uses as much as digits as its factorization.

101001217 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 14, while the sum is 13.

The square root of 101001217 is about 10049.9361689515. The cubic root of 101001217 is about 465.7028212615.

Adding to 101001217 its reverse (712100101), we get a palindrome (813101318).

The spelling of 101001217 in words is "one hundred one million, one thousand, two hundred seventeen".