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11002030221013 = 1311311789635293
BaseRepresentation
bin1010000000011001110000…
…0110100110011011010101
31102221210011101212120222021
42200012130012212123111
52420224124214033023
635222132442133141
72213604364604116
oct240063406463325
942853141776867
1011002030221013
113561a31268017
1212983257b11b1
1361a643c1cb70
142a070305a20d
151412c4a3b35d
hexa019c1a66d5

11002030221013 has 16 divisors (see below), whose sum is σ = 11954225550960. Its totient is φ = 10064976897024.

The previous prime is 11002030221011. The next prime is 11002030221053. The reversal of 11002030221013 is 31012203020011.

It can be written as a sum of positive squares in 8 ways, for example, as 5584043111364 + 5417987109649 = 2363058^2 + 2327657^2 .

It is a cyclic number.

It is not a de Polignac number, because 11002030221013 - 21 = 11002030221011 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11002030221011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17000395 + ... + 17635687.

It is an arithmetic number, because the mean of its divisors is an integer number (747139096935).

Almost surely, 211002030221013 is an apocalyptic number.

11002030221013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

11002030221013 is a deficient number, since it is larger than the sum of its proper divisors (952195329947).

11002030221013 is a wasteful number, since it uses less digits than its factorization.

11002030221013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 647208.

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 11002030221013 its reverse (31012203020011), we get a palindrome (42014233241024).

The spelling of 11002030221013 in words is "eleven trillion, two billion, thirty million, two hundred twenty-one thousand, thirteen".

Divisors: 1 13 113 1469 11789 153257 635293 1332157 8258809 17318041 71788109 933245417 7489469177 97363099301 846310017001 11002030221013