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2105346691 = 73171272843
BaseRepresentation
bin111110101111101…
…0000101010000011
312102201120200201101
41331133100222003
513302432043231
6544524515231
7103113103000
oct17537205203
95381520641
102105346691
11990460148
124a90abb17
13277240696
1415d87c8a7
15c4c71661
hex7d7d0a83

2105346691 has 32 divisors (see below), whose sum is σ = 2621030400. Its totient is φ = 1684464768.

The previous prime is 2105346689. The next prime is 2105346701. The reversal of 2105346691 is 1966435012.

It is not a de Polignac number, because 2105346691 - 21 = 2105346689 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 2105346691.

It is not an unprimeable number, because it can be changed into a prime (2105340691) 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, 739116 + ... + 741958.

It is an arithmetic number, because the mean of its divisors is an integer number (81907200).

Almost surely, 22105346691 is an apocalyptic number.

2105346691 is a deficient number, since it is larger than the sum of its proper divisors (515683709).

2105346691 is a wasteful number, since it uses less digits than its factorization.

2105346691 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3008 (or 2994 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 37.

The square root of 2105346691 is about 45884.0570459937. The cubic root of 2105346691 is about 1281.6650472891.

The spelling of 2105346691 in words is "two billion, one hundred five million, three hundred forty-six thousand, six hundred ninety-one".

Divisors: 1 7 17 49 119 127 343 833 889 2159 2843 5831 6223 15113 19901 43561 48331 105791 139307 338317 361061 740537 975149 2368219 2527427 6138037 16577533 17691989 42966259 123843923 300763813 2105346691