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10300053033 = 3228119132129
BaseRepresentation
bin10011001011110111…
…00101011000101001
3222120211100220111200
421211323211120221
5132043303144113
64422021514413
7513150002064
oct114573453051
928524326450
1010300053033
114406125326
121bb5572a09
13c81c0644a
146d9d4b8db
154043cc873
hex265ee5629

10300053033 has 24 divisors (see below), whose sum is σ = 14945622120. Its totient is φ = 6835476480.

The previous prime is 10300053011. The next prime is 10300053073. The reversal of 10300053033 is 33035000301.

10300053033 is a `hidden beast` number, since 103 + 0 + 0 + 0 + 530 + 33 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2926052649 + 7374000384 = 54093^2 + 85872^2 .

It is a de Polignac number, because none of the positive numbers 2k-10300053033 is a prime.

It is a super-2 number, since 2×103000530332 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10300052997 and 10300053015.

It is not an unprimeable number, because it can be changed into a prime (10300053073) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4836913 + ... + 4839041.

It is an arithmetic number, because the mean of its divisors is an integer number (622734255).

Almost surely, 210300053033 is an apocalyptic number.

It is an amenable number.

10300053033 is a deficient number, since it is larger than the sum of its proper divisors (4645569087).

10300053033 is a wasteful number, since it uses less digits than its factorization.

10300053033 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4329 (or 4326 counting only the distinct ones).

The product of its (nonzero) digits is 405, while the sum is 18.

Adding to 10300053033 its reverse (33035000301), we get a palindrome (43335053334).

The spelling of 10300053033 in words is "ten billion, three hundred million, fifty-three thousand, thirty-three".

Divisors: 1 3 9 281 843 1913 2129 2529 5739 6387 17217 19161 537553 598249 1612659 1794747 4072777 4837977 5384241 12218331 36654993 1144450337 3433351011 10300053033