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13665341436131 = 711293605706371
BaseRepresentation
bin1100011011011011010111…
…0100100111000011100011
31210101101122010210110101202
43012312311310213003203
53242343104401424011
645021434324351415
72610200620450250
oct306666564470343
953341563713352
1013665341436131
114399490a93380
12164852724556b
137818368798a8
143535982dc427
1518a700b5523b
hexc6db5d270e3

13665341436131 has 16 divisors (see below), whose sum is σ = 17095456643328. Its totient is φ = 10611975602400.

The previous prime is 13665341436121. The next prime is 13665341436137. The reversal of 13665341436131 is 13163414356631.

It is a cyclic number.

It is not a de Polignac number, because 13665341436131 - 218 = 13665341173987 is a prime.

It is a super-2 number, since 2×136653414361312 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13665341436137) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 302830625 + ... + 302875746.

It is an arithmetic number, because the mean of its divisors is an integer number (1068466040208).

Almost surely, 213665341436131 is an apocalyptic number.

13665341436131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13665341436131 is a deficient number, since it is larger than the sum of its proper divisors (3430115207197).

13665341436131 is a wasteful number, since it uses less digits than its factorization.

13665341436131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 605706682.

The product of its digits is 1399680, while the sum is 47.

The spelling of 13665341436131 in words is "thirteen trillion, six hundred sixty-five billion, three hundred forty-one million, four hundred thirty-six thousand, one hundred thirty-one".

Divisors: 1 7 11 77 293 2051 3223 22561 605706371 4239944597 6662770081 46639390567 177471966703 1242303766921 1952191633733 13665341436131