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13141230415053 = 3135414177149111
BaseRepresentation
bin1011111100111010111001…
…0111101110110011001101
31201112021210221102222011120
42333032232113232303031
53210301214441240203
643540555314311153
72524264640333526
oct277165627566315
951467727388146
1013141230415053
114207189a83984
121582a375884b9
1374429c430750
14336078c1d84d
1517bc78400b53
hexbf3ae5eeccd

13141230415053 has 32 divisors (see below), whose sum is σ = 18908990537472. Its totient is φ = 8069976345600.

The previous prime is 13141230415051. The next prime is 13141230415057. The reversal of 13141230415053 is 35051403214131.

It is not a de Polignac number, because 13141230415053 - 21 = 13141230415051 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13141230415051) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 88055968 + ... + 88205078.

It is an arithmetic number, because the mean of its divisors is an integer number (590905954296).

Almost surely, 213141230415053 is an apocalyptic number.

13141230415053 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

13141230415053 is a deficient number, since it is larger than the sum of its proper divisors (5767760122419).

13141230415053 is a wasteful number, since it uses less digits than its factorization.

13141230415053 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153845.

The product of its (nonzero) digits is 21600, while the sum is 33.

Adding to 13141230415053 its reverse (35051403214131), we get a palindrome (48192633629184).

The spelling of 13141230415053 in words is "thirteen trillion, one hundred forty-one billion, two hundred thirty million, four hundred fifteen thousand, fifty-three".

Divisors: 1 3 13 39 541 1623 4177 7033 12531 21099 54301 149111 162903 447333 1938443 2259757 5815329 6779271 29376841 80669051 88130523 242007153 622836647 1048697663 1868509941 3146092989 8096876411 24290629233 336954626027 1010863878081 4380410138351 13141230415053