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10513053 = 322814157
BaseRepresentation
bin101000000110…
…101010011101
3201210010012100
4220012222131
510142404203
61013155313
7155234205
oct50065235
921703170
1010513053
115a30681
12362bb39
132241255
141579405
15dc9ea3
hexa06a9d

10513053 has 12 divisors (see below), whose sum is σ = 15243228. Its totient is φ = 6982080.

The previous prime is 10513043. The next prime is 10513057. The reversal of 10513053 is 35031501.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 5963364 + 4549689 = 2442^2 + 2133^2 .

It is a de Polignac number, because none of the positive numbers 2k-10513053 is a prime.

It is a super-2 number, since 2×105130532 = 221048566761618, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10513057) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 451 + ... + 4607.

It is an arithmetic number, because the mean of its divisors is an integer number (1270269).

Almost surely, 210513053 is an apocalyptic number.

It is an amenable number.

10513053 is a deficient number, since it is larger than the sum of its proper divisors (4730175).

10513053 is a wasteful number, since it uses less digits than its factorization.

10513053 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4444 (or 4441 counting only the distinct ones).

The product of its (nonzero) digits is 225, while the sum is 18.

The square root of 10513053 is about 3242.3838452595. The cubic root of 10513053 is about 219.0666588852.

Adding to 10513053 its reverse (35031501), we get a palindrome (45544554).

The spelling of 10513053 in words is "ten million, five hundred thirteen thousand, fifty-three".

Divisors: 1 3 9 281 843 2529 4157 12471 37413 1168117 3504351 10513053