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2129496105 = 3511106912073
BaseRepresentation
bin111111011101101…
…1000100000101001
312111102000121111010
41332323120200221
513330122333410
6551150254133
7103525263312
oct17673304051
95442017433
102129496105
119a3054a40
124b51b7349
1327c247689
14162b67609
15c6e41c20
hex7eed8829

2129496105 has 32 divisors (see below), whose sum is σ = 3720723840. Its totient is φ = 1031431680.

The previous prime is 2129496037. The next prime is 2129496107. The reversal of 2129496105 is 5016949212.

It is not a de Polignac number, because 2129496105 - 211 = 2129494057 is a prime.

It is a super-2 number, since 2×21294961052 = 9069507322420342050, which contains 22 as substring.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is an alternating number because its digits alternate between even and odd.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (2129496107) 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, 170349 + ... + 182421.

It is an arithmetic number, because the mean of its divisors is an integer number (116272620).

Almost surely, 22129496105 is an apocalyptic number.

It is an amenable number.

2129496105 is a deficient number, since it is larger than the sum of its proper divisors (1591227735).

2129496105 is a wasteful number, since it uses less digits than its factorization.

2129496105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13161.

The product of its (nonzero) digits is 38880, while the sum is 39.

The square root of 2129496105 is about 46146.4636239875. The cubic root of 2129496105 is about 1286.5468822404.

The spelling of 2129496105 in words is "two billion, one hundred twenty-nine million, four hundred ninety-six thousand, one hundred five".

Divisors: 1 3 5 11 15 33 55 165 1069 3207 5345 11759 12073 16035 35277 36219 58795 60365 132803 176385 181095 398409 664015 1992045 12906037 38718111 64530185 141966407 193590555 425899221 709832035 2129496105