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13134544543131 = 31117157149125703
BaseRepresentation
bin1011111100100001111111…
…0111001001110110011011
31201111122112222210111002120
42333020133313021312123
53210144021400340011
643533532041032323
72523640154345544
oct277103767116633
951448488714076
1013134544543131
114204368a833a0
1215816904856a3
1374377523110b
14335a02cb34cb
1517b9d6486a06
hexbf21fdc9d9b

13134544543131 has 32 divisors (see below), whose sum is σ = 20357448104448. Its totient is φ = 7444355043840.

The previous prime is 13134544543067. The next prime is 13134544543139.

13134544543131 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 13134544543131 - 26 = 13134544543067 is a prime.

It is a super-2 number, since 2×131345445431312 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13134544543139) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 74474775 + ... + 74650928.

It is an arithmetic number, because the mean of its divisors is an integer number (636170253264).

Almost surely, 213134544543131 is an apocalyptic number.

13134544543131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13134544543131 is a deficient number, since it is larger than the sum of its proper divisors (7222903561317).

13134544543131 is a wasteful number, since it uses less digits than its factorization.

13134544543131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149125891.

The product of its digits is 518400, while the sum is 42.

It can be divided in two parts, 1313454 and 4543131, that added together give a palindrome (5856585).

The spelling of 13134544543131 in words is "thirteen trillion, one hundred thirty-four billion, five hundred forty-four million, five hundred forty-three thousand, one hundred thirty-one".

Divisors: 1 3 11 17 33 51 157 187 471 561 1727 2669 5181 8007 29359 88077 149125703 447377109 1640382733 2535136951 4921148199 7605410853 23412735371 27886506461 70238206113 83659519383 257540089081 398016501307 772620267243 1194049503921 4378181514377 13134544543131