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10135521 = 3211372767
BaseRepresentation
bin100110101010…
…011111100001
3201001221022200
4212222133201
510043314041
61001123413
7152102424
oct46523741
921057280
1010135521
1157a2a70
123489569
13213b466
1414bb9bb
15d531b6
hex9aa7e1

10135521 has 24 divisors (see below), whose sum is σ = 16408704. Its totient is φ = 5974560.

The previous prime is 10135513. The next prime is 10135537. The reversal of 10135521 is 12553101.

10135521 is a `hidden beast` number, since 10 + 135 + 521 = 666.

It is not a de Polignac number, because 10135521 - 23 = 10135513 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10135494 and 10135503.

It is not an unprimeable number, because it can be changed into a prime (10135501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2280 + ... + 5046.

It is an arithmetic number, because the mean of its divisors is an integer number (683696).

Almost surely, 210135521 is an apocalyptic number.

10135521 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10135521 is a deficient number, since it is larger than the sum of its proper divisors (6273183).

10135521 is a wasteful number, since it uses less digits than its factorization.

10135521 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2821 (or 2818 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 18.

The square root of 10135521 is about 3183.6333017482. The cubic root of 10135521 is about 216.4123424842.

Adding to 10135521 its reverse (12553101), we get a palindrome (22688622).

It can be divided in two parts, 10 and 135521, that added together give a palindrome (135531).

The spelling of 10135521 in words is "ten million, one hundred thirty-five thousand, five hundred twenty-one".

Divisors: 1 3 9 11 33 37 99 111 333 407 1221 2767 3663 8301 24903 30437 91311 102379 273933 307137 921411 1126169 3378507 10135521