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105393924243 = 3237316498271
BaseRepresentation
bin110001000100111110…
…1111010100010010011
3101002001002021002021200
41202021331322202103
53211321321033433
6120230045322243
710420521401106
oct1421175724223
9332032232250
10105393924243
1140774139233
1218514266383
139c281632aa
14515b58473d
152b1ca54613
hex1889f7a893

105393924243 has 12 divisors (see below), whose sum is σ = 156350146368. Its totient is φ = 68363626320.

The previous prime is 105393924239. The next prime is 105393924257. The reversal of 105393924243 is 342429393501.

105393924243 is a `hidden beast` number, since 1 + 0 + 53 + 93 + 92 + 424 + 3 = 666.

It is not a de Polignac number, because 105393924243 - 22 = 105393924239 is a prime.

It is a super-2 number, since 2×1053939242432 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105393924283) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 158248803 + ... + 158249468.

It is an arithmetic number, because the mean of its divisors is an integer number (13029178864).

Almost surely, 2105393924243 is an apocalyptic number.

105393924243 is a deficient number, since it is larger than the sum of its proper divisors (50956222125).

105393924243 is a wasteful number, since it uses less digits than its factorization.

105393924243 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 316498314 (or 316498311 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 45.

The spelling of 105393924243 in words is "one hundred five billion, three hundred ninety-three million, nine hundred twenty-four thousand, two hundred forty-three".

Divisors: 1 3 9 37 111 333 316498271 949494813 2848484439 11710436027 35131308081 105393924243