Search a number
-
+
903021011010121 is a prime number
BaseRepresentation
bin1100110101010010101111011…
…0100101100000001001001001
311101102022222001220000221102111
43031110223312211200021021
51421330044012304310441
612520322043035102321
7361131054316656523
oct31524536645401111
94342288056027374
10903021011010121
11241804073008013
12853436315a19a1
132c9b469270c9b3
1411cdc643258a13
156e5e9aeb45081
hex3354af6960249

903021011010121 has 2 divisors, whose sum is σ = 903021011010122. Its totient is φ = 903021011010120.

The previous prime is 903021011010101. The next prime is 903021011010133. The reversal of 903021011010121 is 121010110120309.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 806151716481721 + 96869294528400 = 28392811^2 + 9842220^2 .

It is an emirp because it is prime and its reverse (121010110120309) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 903021011010121 - 221 = 903021008912969 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 903021011010092 and 903021011010101.

It is not a weakly prime, because it can be changed into another prime (903021011010101) 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, 451510505505060 + 451510505505061.

It is an arithmetic number, because the mean of its divisors is an integer number (451510505505061).

Almost surely, 2903021011010121 is an apocalyptic number.

It is an amenable number.

903021011010121 is a deficient number, since it is larger than the sum of its proper divisors (1).

903021011010121 is an equidigital number, since it uses as much as digits as its factorization.

903021011010121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 108, while the sum is 22.

The spelling of 903021011010121 in words is "nine hundred three trillion, twenty-one billion, eleven million, ten thousand, one hundred twenty-one".