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10540125255 = 3511298212683
BaseRepresentation
bin10011101000011110…
…11000110001000111
31000012120002211200110
421310033120301013
5133041233002010
64501515244103
7522123405102
oct116417306107
930176084613
1010540125255
114519698120
122061a49633
13cbc88110a
1471dba1739
1541a500120
hex2743d8c47

10540125255 has 64 divisors (see below), whose sum is σ = 19061982720. Its totient is φ = 4926297600.

The previous prime is 10540125241. The next prime is 10540125259. The reversal of 10540125255 is 55252104501.

10540125255 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 10540125255 - 25 = 10540125223 is a prime.

It is a super-2 number, since 2×105401252552 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10540125259) 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 63 ways as a sum of consecutive naturals, for example, 3927144 + ... + 3929826.

It is an arithmetic number, because the mean of its divisors is an integer number (297843480).

Almost surely, 210540125255 is an apocalyptic number.

10540125255 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

10540125255 is a deficient number, since it is larger than the sum of its proper divisors (8521857465).

10540125255 is a wasteful number, since it uses less digits than its factorization.

10540125255 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3552.

The product of its (nonzero) digits is 10000, while the sum is 30.

Adding to 10540125255 its reverse (55252104501), we get a palindrome (65792229756).

The spelling of 10540125255 in words is "ten billion, five hundred forty million, one hundred twenty-five thousand, two hundred fifty-five".

Divisors: 1 3 5 11 15 29 33 55 87 145 165 319 435 821 957 1595 2463 2683 4105 4785 8049 9031 12315 13415 23809 27093 29513 40245 45155 71427 77807 88539 119045 135465 147565 233421 261899 357135 389035 442695 785697 855877 1167105 1309495 2202743 2567631 3928485 4279385 6608229 11013715 12838155 24230173 33041145 63879547 72690519 121150865 191638641 319397735 363452595 702675017 958193205 2108025051 3513375085 10540125255