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10755103135 = 572621117241
BaseRepresentation
bin10100000010000110…
…11101100110011111
31000202112121211220011
422001003131212133
5134011301300020
64535115104051
7530343603550
oct120103354637
930675554804
1010755103135
114619a80197
122101a42027
13102528096a
14740562327
1542e31735a
hex2810dd99f

10755103135 has 16 divisors (see below), whose sum is σ = 14755609152. Its totient is φ = 7372051200.

The previous prime is 10755103133. The next prime is 10755103171. The reversal of 10755103135 is 53130155701.

10755103135 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 10755103135 - 21 = 10755103133 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10755103097 and 10755103106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10755103133) 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, 33115 + ... + 150355.

It is an arithmetic number, because the mean of its divisors is an integer number (922225572).

Almost surely, 210755103135 is an apocalyptic number.

10755103135 is a deficient number, since it is larger than the sum of its proper divisors (4000506017).

10755103135 is a wasteful number, since it uses less digits than its factorization.

10755103135 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119874.

The product of its (nonzero) digits is 7875, while the sum is 31.

Adding to 10755103135 its reverse (53130155701), we get a palindrome (63885258836).

The spelling of 10755103135 in words is "ten billion, seven hundred fifty-five million, one hundred three thousand, one hundred thirty-five".

Divisors: 1 5 7 35 2621 13105 18347 91735 117241 586205 820687 4103435 307288661 1536443305 2151020627 10755103135