Search a number
-
+
1010100019 is a prime number
BaseRepresentation
bin111100001101001…
…110011100110011
32121101200101201211
4330031032130303
54032041200034
6244121540551
734013465005
oct7415163463
92541611654
101010100019
114791a2105
12242344757
13131365426
149821a375
155da28d64
hex3c34e733

1010100019 has 2 divisors, whose sum is σ = 1010100020. Its totient is φ = 1010100018.

The previous prime is 1010100011. The next prime is 1010100061. The reversal of 1010100019 is 9100010101.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 1010100019 - 23 = 1010100011 is a prime.

It is a super-2 number, since 2×10101000192 = 2040604096767600722, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1010099981 and 1010100008.

It is not a weakly prime, because it can be changed into another prime (1010100011) 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, 505050009 + 505050010.

It is an arithmetic number, because the mean of its divisors is an integer number (505050010).

Almost surely, 21010100019 is an apocalyptic number.

1010100019 is a deficient number, since it is larger than the sum of its proper divisors (1).

1010100019 is an equidigital number, since it uses as much as digits as its factorization.

1010100019 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 9, while the sum is 13.

The square root of 1010100019 is about 31782.0707160500. The cubic root of 1010100019 is about 1003.3554016870.

The spelling of 1010100019 in words is "one billion, ten million, one hundred thousand, nineteen".