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10540515033 = 321171168337
BaseRepresentation
bin10011101000100001…
…10111111011011001
31000012120211122100200
421310100313323121
5133041332440113
64501531452413
7522126620346
oct116420677331
930176748320
1010540515033
114519933a54
122061bb7109
13cbc989659
1471dc637cd
1541a57a873
hex274437ed9

10540515033 has 6 divisors (see below), whose sum is σ = 15225188394. Its totient is φ = 7027010016.

The previous prime is 10540514969. The next prime is 10540515043. The reversal of 10540515033 is 33051504501.

10540515033 is a `hidden beast` number, since 105 + 4 + 0 + 51 + 503 + 3 = 666.

It can be written as a sum of positive squares in only one way, i.e., 8148131289 + 2392383744 = 90267^2 + 48912^2 .

It is not a de Polignac number, because 10540515033 - 26 = 10540514969 is a prime.

It is a super-2 number, since 2×105405150332 (a number of 21 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 10540514988 and 10540515006.

It is not an unprimeable number, because it can be changed into a prime (10540515043) 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 5 ways as a sum of consecutive naturals, for example, 585584160 + ... + 585584177.

It is an arithmetic number, because the mean of its divisors is an integer number (2537531399).

Almost surely, 210540515033 is an apocalyptic number.

It is an amenable number.

10540515033 is a deficient number, since it is larger than the sum of its proper divisors (4684673361).

10540515033 is a wasteful number, since it uses less digits than its factorization.

10540515033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1171168343 (or 1171168340 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 27.

The spelling of 10540515033 in words is "ten billion, five hundred forty million, five hundred fifteen thousand, thirty-three".

Divisors: 1 3 9 1171168337 3513505011 10540515033