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105978798211 = 11133793195389
BaseRepresentation
bin110001010110011010…
…1000010000010000011
3101010112211210202112111
41202230311002002003
53214021033020321
6120404101240151
710441152631036
oct1425465020203
9333484722474
10105978798211
1140a442a5750
1218658103057
139cbc394070
1451b511101d
152b540855e1
hex18acd42083

105978798211 has 16 divisors (see below), whose sum is σ = 124540022880. Its totient is φ = 88909355520.

The previous prime is 105978798199. The next prime is 105978798227. The reversal of 105978798211 is 112897879501.

It is a cyclic number.

It is not a de Polignac number, because 105978798211 - 227 = 105844580483 is a prime.

It is a super-2 number, since 2×1059787982112 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105978798011) 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, 444705 + ... + 640093.

It is an arithmetic number, because the mean of its divisors is an integer number (7783751430).

Almost surely, 2105978798211 is an apocalyptic number.

105978798211 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

105978798211 is a deficient number, since it is larger than the sum of its proper divisors (18561224669).

105978798211 is a wasteful number, since it uses less digits than its factorization.

105978798211 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199206.

The product of its (nonzero) digits is 2540160, while the sum is 58.

The spelling of 105978798211 in words is "one hundred five billion, nine hundred seventy-eight million, seven hundred ninety-eight thousand, two hundred eleven".

Divisors: 1 11 13 143 3793 41723 49309 195389 542399 2149279 2540057 27940627 741110477 8152215247 9634436201 105978798211