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12523030352041 = 112956968993231
BaseRepresentation
bin1011011000111011111011…
…0001101001000010101001
31122100012010111221220210111
42312032332301221002221
53120134131232231131
642345000053414321
72431521236444356
oct266167661510251
948305114856714
1012523030352041
113a98a951826a0
1214a306963a3a1
136cabbbc95ab1
1431419175162d
1516ab4585bab1
hexb63bec690a9

12523030352041 has 16 divisors (see below), whose sum is σ = 14157411206400. Its totient is φ = 10972683299200.

The previous prime is 12523030351933. The next prime is 12523030352047. The reversal of 12523030352041 is 14025303032521.

It is a cyclic number.

It is not a de Polignac number, because 12523030352041 - 213 = 12523030343849 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12523030351994 and 12523030352012.

It is not an unprimeable number, because it can be changed into a prime (12523030352047) 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, 34315105 + ... + 34678126.

It is an arithmetic number, because the mean of its divisors is an integer number (884838200400).

Almost surely, 212523030352041 is an apocalyptic number.

12523030352041 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12523030352041 is a deficient number, since it is larger than the sum of its proper divisors (1634380854359).

12523030352041 is a wasteful number, since it uses less digits than its factorization.

12523030352041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68993840.

The product of its (nonzero) digits is 21600, while the sum is 31.

Adding to 12523030352041 its reverse (14025303032521), we get a palindrome (26548333384562).

The spelling of 12523030352041 in words is "twelve trillion, five hundred twenty-three billion, thirty million, three hundred fifty-two thousand, forty-one".

Divisors: 1 11 29 319 569 6259 16501 181511 68993231 758925541 2000803699 22008840689 39257148439 431828632829 1138457304731 12523030352041