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10105435043 = 1123379105389
BaseRepresentation
bin10010110100101010…
…01011001110100011
3222002021011021210222
421122111023032203
5131143442410133
64350430313255
7505264531514
oct113225131643
928067137728
1010105435043
114316288a10
121b6035882b
13c507b4a82
146bc16aa0b
153e2287e98
hex25a54b3a3

10105435043 has 16 divisors (see below), whose sum is σ = 11533881600. Its totient is φ = 8764066080.

The previous prime is 10105435013. The next prime is 10105435051. The reversal of 10105435043 is 34053450101.

10105435043 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10105435043 - 26 = 10105434979 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10105435013) 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, 43193 + ... + 148581.

It is an arithmetic number, because the mean of its divisors is an integer number (720867600).

Almost surely, 210105435043 is an apocalyptic number.

10105435043 is a deficient number, since it is larger than the sum of its proper divisors (1428446557).

10105435043 is a wasteful number, since it uses less digits than its factorization.

10105435043 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105802.

The product of its (nonzero) digits is 3600, while the sum is 26.

Adding to 10105435043 its reverse (34053450101), we get a palindrome (44158885144).

The spelling of 10105435043 in words is "ten billion, one hundred five million, four hundred thirty-five thousand, forty-three".

Divisors: 1 11 23 253 379 4169 8717 95887 105389 1159279 2423947 26663417 39942431 439366741 918675913 10105435043