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13005034430334 = 233998354210683
BaseRepresentation
bin1011110100111111100001…
…1101010001111101111110
31201001021021012200002101020
42331033320131101331332
53201033302303232314
643354232541525010
72511403606506012
oct275177035217576
951037235602336
1013005034430334
114164449993821
121560567873766
137344a59b068b
1432d6388ca542
1517845663eda9
hexbd3f8751f7e

13005034430334 has 16 divisors (see below), whose sum is σ = 26010719868672. Its totient is φ = 4334902975448.

The previous prime is 13005034430257. The next prime is 13005034430347. The reversal of 13005034430334 is 43303443050031.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 13005034430295 and 13005034430304.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 26865444 + ... + 27345239.

It is an arithmetic number, because the mean of its divisors is an integer number (1625669991792).

Almost surely, 213005034430334 is an apocalyptic number.

13005034430334 is an abundant number, since it is smaller than the sum of its proper divisors (13005685438338).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13005034430334 is a wasteful number, since it uses less digits than its factorization.

13005034430334 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54250671.

The product of its (nonzero) digits is 77760, while the sum is 33.

Adding to 13005034430334 its reverse (43303443050031), we get a palindrome (56308477480365).

The spelling of 13005034430334 in words is "thirteen trillion, five billion, thirty-four million, four hundred thirty thousand, three hundred thirty-four".

Divisors: 1 2 3 6 39983 79966 119949 239898 54210683 108421366 162632049 325264098 2167505738389 4335011476778 6502517215167 13005034430334