Search a number
-
+
1303111020001 = 7247666184947
BaseRepresentation
bin10010111101100111011…
…110000010110111100001
311121120120001021122101011
4102331213132002313201
5132322232410120001
62434350235340521
7163101206624500
oct22754736026741
94546501248334
101303111020001
114627122205aa
121906752b1741
1395b627b038b
14470dc810837
1523d6c0e8d51
hex12f67782de1

1303111020001 has 24 divisors (see below), whose sum is σ = 1548366903936. Its totient is φ = 1093010375520.

The previous prime is 1303111019989. The next prime is 1303111020109. The reversal of 1303111020001 is 1000201113031.

It is a de Polignac number, because none of the positive numbers 2k-1303111020001 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1303111023001) 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 in 23 ways as a sum of consecutive naturals, for example, 15297810 + ... + 15382756.

It is an arithmetic number, because the mean of its divisors is an integer number (64515287664).

Almost surely, 21303111020001 is an apocalyptic number.

It is an amenable number.

1303111020001 is a deficient number, since it is larger than the sum of its proper divisors (245255883935).

1303111020001 is an equidigital number, since it uses as much as digits as its factorization.

1303111020001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91669 (or 91662 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 13.

Adding to 1303111020001 its reverse (1000201113031), we get a palindrome (2303312133032).

The spelling of 1303111020001 in words is "one trillion, three hundred three billion, one hundred eleven million, twenty thousand, one".

Divisors: 1 7 47 49 329 2303 6661 46627 84947 313067 326389 594629 2191469 3992509 4162403 15340283 27947563 195632941 565831967 3960823769 26594102449 27725766383 186158717143 1303111020001