Search a number
-
+
1005556100533 is a prime number
BaseRepresentation
bin11101010000111111101…
…00000110110110110101
310120010111221012120120021
432220133310012312311
5112433334330204113
62045540205005141
7132435421553605
oct16503764066665
93503457176507
101005556100533
113584aa227516
12142a728537b1
1373a923c25aa
1436952304c05
151b25441848d
hexea1fd06db5

1005556100533 has 2 divisors, whose sum is σ = 1005556100534. Its totient is φ = 1005556100532.

The previous prime is 1005556100449. The next prime is 1005556100551. The reversal of 1005556100533 is 3350016555001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 999506061009 + 6050039524 = 999753^2 + 77782^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1005556100533 is a prime.

It is a super-2 number, since 2×10055561005332 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1005556100333) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 502778050266 + 502778050267.

It is an arithmetic number, because the mean of its divisors is an integer number (502778050267).

Almost surely, 21005556100533 is an apocalyptic number.

It is an amenable number.

1005556100533 is a deficient number, since it is larger than the sum of its proper divisors (1).

1005556100533 is an equidigital number, since it uses as much as digits as its factorization.

1005556100533 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 33750, while the sum is 34.

The spelling of 1005556100533 in words is "one trillion, five billion, five hundred fifty-six million, one hundred thousand, five hundred thirty-three".