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13141122114131 = 112351941194127
BaseRepresentation
bin1011111100111010011111…
…1010100110001001010011
31201112021112101122201020022
42333032213322212021103
53210301004230123011
643540540445134055
72524262153646434
oct277164772461123
951467471581208
1013141122114131
114207133932890
121582a0725a32b
13744282b7186b
143360686ab48b
1517bc6db5b8db
hexbf3a7ea6253

13141122114131 has 8 divisors (see below), whose sum is σ = 14959063908864. Its totient is φ = 11427062707720.

The previous prime is 13141122114079. The next prime is 13141122114137.

13141122114131 is nontrivially palindromic in base 10.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 13141122114131 - 230 = 13140048372307 is a prime.

It is a super-2 number, since 2×131411221141312 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 13141122114131.

It is not an unprimeable number, because it can be changed into a prime (13141122114137) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25970596811 + ... + 25970597316.

It is an arithmetic number, because the mean of its divisors is an integer number (1869882988608).

Almost surely, 213141122114131 is an apocalyptic number.

13141122114131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13141122114131 is a deficient number, since it is larger than the sum of its proper divisors (1817941794733).

13141122114131 is a wasteful number, since it uses less digits than its factorization.

13141122114131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51941194161.

The product of its digits is 576, while the sum is 26.

It can be divided in two parts, 1314112 and 2114131, that added together give a palindrome (3428243).

The spelling of 13141122114131 in words is "thirteen trillion, one hundred forty-one billion, one hundred twenty-two million, one hundred fourteen thousand, one hundred thirty-one".

Divisors: 1 11 23 253 51941194127 571353135397 1194647464921 13141122114131