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1060105610001 = 33783353332569
BaseRepresentation
bin11110110110100110011…
…01111110001100010001
310202100022120201202220210
433123103031332030101
5114332044014010001
62131001130154333
7136406256002424
oct17332315761421
93670276652823
101060105610001
11379651a86349
121515572829a9
1378c76881b49
1439448d4b9bb
151c8983cadd6
hexf6d337e311

1060105610001 has 32 divisors (see below), whose sum is σ = 1469627187840. Its totient is φ = 679138159104.

The previous prime is 1060105609987. The next prime is 1060105610029. The reversal of 1060105610001 is 1000165010601.

It is not a de Polignac number, because 1060105610001 - 213 = 1060105601809 is a prime.

It is a super-2 number, since 2×10601056100012 (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1060105610001.

It is not an unprimeable number, because it can be changed into a prime (1060105610051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32533245 + ... + 32565813.

It is an arithmetic number, because the mean of its divisors is an integer number (45925849620).

Almost surely, 21060105610001 is an apocalyptic number.

It is an amenable number.

1060105610001 is a deficient number, since it is larger than the sum of its proper divisors (409521577839).

1060105610001 is a wasteful number, since it uses less digits than its factorization.

1060105610001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36225.

The product of its (nonzero) digits is 180, while the sum is 21.

The spelling of 1060105610001 in words is "one trillion, sixty billion, one hundred five million, six hundred ten thousand, one".

Divisors: 1 3 37 83 111 249 3071 3533 9213 10599 32569 97707 130721 293239 392163 879717 1205053 2703227 3615159 8109681 10849843 32549529 100019399 115066277 300058197 345198831 4257452249 9550500991 12772356747 28651502973 353368536667 1060105610001