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13044011200001 = 181257461608273
BaseRepresentation
bin1011110111010000101110…
…1001110110111000000001
31201011222212120100010201222
42331310023221312320001
53202203113331400001
643424200325204425
72514253520544005
oct275641351667001
951158776303658
1013044011200001
114179a302a1761
121568024b60715
13738077a811b2
14331495220705
151794883a761b
hexbdd0ba76e01

13044011200001 has 16 divisors (see below), whose sum is σ = 13195696642128. Its totient is φ = 12893419929600.

The previous prime is 13044011199971. The next prime is 13044011200027. The reversal of 13044011200001 is 10000211044031.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 1409738280976 + 11634272919025 = 1187324^2 + 3410905^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-13044011200001 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (13044011200901) 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 15 ways as a sum of consecutive naturals, for example, 21140201 + ... + 21748473.

It is an arithmetic number, because the mean of its divisors is an integer number (824731040133).

Almost surely, 213044011200001 is an apocalyptic number.

It is an amenable number.

13044011200001 is a deficient number, since it is larger than the sum of its proper divisors (151685442127).

13044011200001 is a wasteful number, since it uses less digits than its factorization.

13044011200001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 609172.

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 13044011200001 its reverse (10000211044031), we get a palindrome (23044222244032).

The spelling of 13044011200001 in words is "thirteen trillion, forty-four billion, eleven million, two hundred thousand, one".

Divisors: 1 181 257 461 46517 83441 118477 608273 21444337 110097413 156326161 280413853 28295035141 50754907393 72066360221 13044011200001