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1033110130013 = 13338892345009
BaseRepresentation
bin11110000100010100010…
…10011000110101011101
310122202122012222022011122
433002022022120311131
5113411302143130023
62110334303300325
7134432301133223
oct17021212306535
93582565868148
101033110130013
1136915980a705
121482825aa6a5
1376563ac4750
1438007964b13
151bd1843a2c8
hexf08a298d5d

1033110130013 has 8 divisors (see below), whose sum is σ = 1112613444600. Its totient is φ = 953611573248.

The previous prime is 1033110130001. The next prime is 1033110130051. The reversal of 1033110130013 is 3100310113301.

It can be written as a sum of positive squares in 4 ways, for example, as 19540405369 + 1013569724644 = 139787^2 + 1006762^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1033110130013 - 212 = 1033110125917 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1033110129973 and 1033110130000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1033110130813) 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 7 ways as a sum of consecutive naturals, for example, 731948 + ... + 1613061.

It is an arithmetic number, because the mean of its divisors is an integer number (139076680575).

Almost surely, 21033110130013 is an apocalyptic number.

1033110130013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1033110130013 is a deficient number, since it is larger than the sum of its proper divisors (79503314587).

1033110130013 is a wasteful number, since it uses less digits than its factorization.

1033110130013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2378911.

The product of its (nonzero) digits is 81, while the sum is 17.

Adding to 1033110130013 its reverse (3100310113301), we get a palindrome (4133420243314).

The spelling of 1033110130013 in words is "one trillion, thirty-three billion, one hundred ten million, one hundred thirty thousand, thirteen".

Divisors: 1 13 33889 440557 2345009 30485117 79470010001 1033110130013