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106348196243 = 13922325113669
BaseRepresentation
bin110001100001011011…
…0001011000110010011
3101011111120220010101002
41203002312023012103
53220300114234433
6120504454532215
710453256516162
oct1430266130623
9334446803332
10106348196243
1141113869983
121873b96706b
13a04aa7c693
14520c1cb3d9
152b767019e8
hex18c2d8b193

106348196243 has 16 divisors (see below), whose sum is σ = 108030182400. Its totient is φ = 104683212000.

The previous prime is 106348196219. The next prime is 106348196261. The reversal of 106348196243 is 342691843601.

It is a cyclic number.

It is not a de Polignac number, because 106348196243 - 212 = 106348192147 is a prime.

It is a super-2 number, since 2×1063481962432 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (106348196263) 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 15 ways as a sum of consecutive naturals, for example, 7773413 + ... + 7787081.

It is an arithmetic number, because the mean of its divisors is an integer number (6751886400).

Almost surely, 2106348196243 is an apocalyptic number.

106348196243 is a deficient number, since it is larger than the sum of its proper divisors (1681986157).

106348196243 is a wasteful number, since it uses less digits than its factorization.

106348196243 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14282.

The product of its (nonzero) digits is 746496, while the sum is 47.

The spelling of 106348196243 in words is "one hundred six billion, three hundred forty-eight million, one hundred ninety-six thousand, two hundred forty-three".

Divisors: 1 139 223 251 13669 30997 34889 55973 1899991 3048187 3430919 7780247 423697993 476897741 765094937 106348196243