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10532122523 = 131773652831
BaseRepresentation
bin10011100111100001…
…10110111110011011
31000012000001020222222
421303300312332123
5133032210410043
64501031534255
7521665364366
oct116360667633
930160036888
1010532122523
11451512159a
12205b22a38b
13cbb00b680
1471cabb0dd
1541996dd68
hex273c36f9b

10532122523 has 16 divisors (see below), whose sum is σ = 12174011136. Its totient is φ = 9024721920.

The previous prime is 10532122481. The next prime is 10532122583. The reversal of 10532122523 is 32522123501.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 10532122523 - 214 = 10532106139 is a prime.

It is a super-2 number, since 2×105321225232 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10532122492 and 10532122501.

It is not an unprimeable number, because it can be changed into a prime (10532122583) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 310283 + ... + 342548.

It is an arithmetic number, because the mean of its divisors is an integer number (760875696).

Almost surely, 210532122523 is an apocalyptic number.

10532122523 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

10532122523 is a deficient number, since it is larger than the sum of its proper divisors (1641888613).

10532122523 is a wasteful number, since it uses less digits than its factorization.

10532122523 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 652934.

The product of its (nonzero) digits is 3600, while the sum is 26.

The spelling of 10532122523 in words is "ten billion, five hundred thirty-two million, one hundred twenty-two thousand, five hundred twenty-three".

Divisors: 1 13 17 73 221 949 1241 16133 652831 8486803 11098127 47656663 144275651 619536619 810163271 10532122523