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10540331433 = 32157247513
BaseRepresentation
bin10011101000100000…
…01011000110101001
31000012120111022111200
421310100023012221
5133041311101213
64501523514413
7522125224152
oct116420130651
930176438450
1010540331433
114519819015
122061b28a09
13cbc923c08
1471dc16929
1541a541273
hex27440b1a9

10540331433 has 18 divisors (see below), whose sum is σ = 15322837374. Its totient is φ = 6981983424.

The previous prime is 10540331411. The next prime is 10540331447. The reversal of 10540331433 is 33413304501.

It can be written as a sum of positive squares in 3 ways, for example, as 11108889 + 10529222544 = 3333^2 + 102612^2 .

It is not a de Polignac number, because 10540331433 - 25 = 10540331401 is a prime.

It is a super-2 number, since 2×105403314332 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10540331397 and 10540331406.

It is not an unprimeable number, because it can be changed into a prime (10540330433) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 198085 + ... + 245597.

It is an arithmetic number, because the mean of its divisors is an integer number (851268743).

Almost surely, 210540331433 is an apocalyptic number.

It is an amenable number.

10540331433 is a deficient number, since it is larger than the sum of its proper divisors (4782505941).

10540331433 is an equidigital number, since it uses as much as digits as its factorization.

10540331433 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47833 (or 47673 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

Adding to 10540331433 its reverse (33413304501), we get a palindrome (43953635934).

The spelling of 10540331433 in words is "ten billion, five hundred forty million, three hundred thirty-one thousand, four hundred thirty-three".

Divisors: 1 3 9 157 471 1413 24649 47513 73947 142539 221841 427617 7459541 22378623 67135869 1171147937 3513443811 10540331433