Search a number
-
+
2114800819 is a prime number
BaseRepresentation
bin111111000001101…
…0100110010110011
312110101101000100021
41332003110302303
513312342111234
6545503304311
7103256340025
oct17603246263
95411330307
102114800819
1199582817a
124b02ab097
132791a0941
14160c20015
15c59dc9b4
hex7e0d4cb3

2114800819 has 2 divisors, whose sum is σ = 2114800820. Its totient is φ = 2114800818.

The previous prime is 2114800813. The next prime is 2114800847. The reversal of 2114800819 is 9180084112.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 2114800819 - 217 = 2114669747 is a prime.

It is a super-2 number, since 2×21148008192 = 8944765008086141522, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (2114800813) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1057400409 + 1057400410.

It is an arithmetic number, because the mean of its divisors is an integer number (1057400410).

Almost surely, 22114800819 is an apocalyptic number.

2114800819 is a deficient number, since it is larger than the sum of its proper divisors (1).

2114800819 is an equidigital number, since it uses as much as digits as its factorization.

2114800819 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4608, while the sum is 34.

The square root of 2114800819 is about 45986.9635766485. The cubic root of 2114800819 is about 1283.5806357090.

The spelling of 2114800819 in words is "two billion, one hundred fourteen million, eight hundred thousand, eight hundred nineteen".