Search a number
-
+
2413100089 is a prime number
BaseRepresentation
bin1000111111010100…
…1111110000111001
320020011200012000101
42033311033300321
514420223200324
61035241035401
7113541004141
oct21765176071
96204605011
102413100089
11102914a8a4
12574185b61
132c5c2459a
1418c6ad921
15e1cb2944
hex8fd4fc39

2413100089 has 2 divisors, whose sum is σ = 2413100090. Its totient is φ = 2413100088.

The previous prime is 2413100087. The next prime is 2413100117. The reversal of 2413100089 is 9800013142.

It is a happy number.

It is an a-pointer prime, because the next prime (2413100117) can be obtained adding 2413100089 to its sum of digits (28).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2086936489 + 326163600 = 45683^2 + 18060^2 .

It is a cyclic number.

It is not a de Polignac number, because 2413100089 - 21 = 2413100087 is a prime.

Together with 2413100087, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (2413100087) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1206550044 + 1206550045.

It is an arithmetic number, because the mean of its divisors is an integer number (1206550045).

Almost surely, 22413100089 is an apocalyptic number.

It is an amenable number.

2413100089 is a deficient number, since it is larger than the sum of its proper divisors (1).

2413100089 is an equidigital number, since it uses as much as digits as its factorization.

2413100089 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1728, while the sum is 28.

The square root of 2413100089 is about 49123.3151263227. The cubic root of 2413100089 is about 1341.2974900172.

The spelling of 2413100089 in words is "two billion, four hundred thirteen million, one hundred thousand, eighty-nine".