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13136046128701 = 195982931413017
BaseRepresentation
bin1011111100100111100101…
…0111001111111000111101
31201111210102122021221020221
42333021321113033320331
53210210110302104301
643534341041141341
72524022316536206
oct277117127177075
951453378257227
1013136046128701
114204a69646901
121581a2b32a851
13743954359ca2
14335b064aa5ad
1517ba731e5da1
hexbf2795cfe3d

13136046128701 has 16 divisors (see below), whose sum is σ = 14063485550400. Its totient is φ = 12232264733568.

The previous prime is 13136046128669. The next prime is 13136046128729. The reversal of 13136046128701 is 10782164063131.

It is a cyclic number.

It is not a de Polignac number, because 13136046128701 - 25 = 13136046128669 is a prime.

It is a super-3 number, since 3×131360461287013 (a number of 40 digits) contains 333 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13136046128501) 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 15 ways as a sum of consecutive naturals, for example, 8589945 + ... + 10002961.

It is an arithmetic number, because the mean of its divisors is an integer number (878967846900).

Almost surely, 213136046128701 is an apocalyptic number.

It is an amenable number.

13136046128701 is a deficient number, since it is larger than the sum of its proper divisors (927439421699).

13136046128701 is a wasteful number, since it uses less digits than its factorization.

13136046128701 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1421388.

The product of its (nonzero) digits is 145152, while the sum is 43.

The spelling of 13136046128701 in words is "thirteen trillion, one hundred thirty-six billion, forty-six million, one hundred twenty-eight thousand, seven hundred one".

Divisors: 1 19 59 1121 8293 157567 489287 1413017 9296453 26847323 83368003 1583992057 11718149981 222644849639 691370848879 13136046128701