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141105510601 = 11172299113617
BaseRepresentation
bin1000001101101010001…
…0110011100011001001
3111111012212220122012021
42003122202303203021
54302441002314401
6144453432444441
713123504023166
oct2033242634311
9444185818167
10141105510601
115492a422670
122341bb49721
13103c9921c93
146b883a306d
153a0cce52a1
hex20da8b38c9

141105510601 has 32 divisors (see below), whose sum is σ = 163924922880. Its totient is φ = 120039628800.

The previous prime is 141105510571. The next prime is 141105510617. The reversal of 141105510601 is 106015501141.

It is a cyclic number.

It is not a de Polignac number, because 141105510601 - 221 = 141103413449 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (141105510691) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 39009945 + ... + 39013561.

It is an arithmetic number, because the mean of its divisors is an integer number (5122653840).

Almost surely, 2141105510601 is an apocalyptic number.

141105510601 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

141105510601 is a deficient number, since it is larger than the sum of its proper divisors (22819412279).

141105510601 is a wasteful number, since it uses less digits than its factorization.

141105510601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4785.

The product of its (nonzero) digits is 600, while the sum is 25.

The spelling of 141105510601 in words is "one hundred forty-one billion, one hundred five million, five hundred ten thousand, six hundred one".

Divisors: 1 11 17 187 229 911 2519 3617 3893 10021 15487 39787 42823 61489 170357 208619 676379 828293 2294809 3295087 3546523 9111223 14080981 36245957 39011753 56016479 154890791 616181269 754574923 8300324153 12827773691 141105510601