Search a number
-
+
106830413 is a prime number
BaseRepresentation
bin1100101111000…
…01101001001101
321110000112202222
412113201221031
5204322033123
614333425125
72435020634
oct627415115
9243015688
10106830413
11553372a8
122b93b1a5
1319195781
141028c51b
1595a36c8
hex65e1a4d

106830413 has 2 divisors, whose sum is σ = 106830414. Its totient is φ = 106830412.

The previous prime is 106830341. The next prime is 106830419. The reversal of 106830413 is 314038601.

Together with previous prime (106830341) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 100060009 + 6770404 = 10003^2 + 2602^2 .

It is an emirp because it is prime and its reverse (314038601) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 106830413 - 210 = 106829389 is a prime.

It is a super-2 number, since 2×1068304132 = 22825474283501138, which contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (106830419) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53415206 + 53415207.

It is an arithmetic number, because the mean of its divisors is an integer number (53415207).

Almost surely, 2106830413 is an apocalyptic number.

It is an amenable number.

106830413 is a deficient number, since it is larger than the sum of its proper divisors (1).

106830413 is an equidigital number, since it uses as much as digits as its factorization.

106830413 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1728, while the sum is 26.

The square root of 106830413 is about 10335.8798851380. The cubic root of 106830413 is about 474.4949949561.

The spelling of 106830413 in words is "one hundred six million, eight hundred thirty thousand, four hundred thirteen".