Search a number
-
+
100122917 is a prime number
BaseRepresentation
bin1011111011111…
…00000100100101
320222101202211012
411331330010211
5201112413132
613533552005
72324013356
oct575740445
9228352735
10100122917
1151575914
1229645605
131798773b
14d423d2d
158bcb0b2
hex5f7c125

100122917 has 2 divisors, whose sum is σ = 100122918. Its totient is φ = 100122916.

The previous prime is 100122889. The next prime is 100122923. The reversal of 100122917 is 719221001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 74407876 + 25715041 = 8626^2 + 5071^2 .

It is a cyclic number.

It is not a de Polignac number, because 100122917 - 28 = 100122661 is a prime.

It is a super-3 number, since 3×1001229173 (a number of 25 digits) contains 333 as substring.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 100122892 and 100122901.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100122937) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50061458 + 50061459.

It is an arithmetic number, because the mean of its divisors is an integer number (50061459).

Almost surely, 2100122917 is an apocalyptic number.

It is an amenable number.

100122917 is a deficient number, since it is larger than the sum of its proper divisors (1).

100122917 is an equidigital number, since it uses as much as digits as its factorization.

100122917 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 252, while the sum is 23.

The square root of 100122917 is about 10006.1439625862. The cubic root of 100122917 is about 464.3489822195.

Adding to 100122917 its reverse (719221001), we get a palindrome (819343918).

The spelling of 100122917 in words is "one hundred million, one hundred twenty-two thousand, nine hundred seventeen".