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10524535204141 = 74799677324361
BaseRepresentation
bin1001100100100110111100…
…1011101010100100101101
31101021010122221202110211101
42121021233023222210231
52334413222003013031
634214523230523101
72134241536123240
oct231115713524455
941233587673741
1010524535204141
113398480826532
12121b885666491
135b45c843236a
14285566aa9257
15133b79a36361
hex9926f2ea92d

10524535204141 has 16 divisors (see below), whose sum is σ = 12054433674240. Its totient is φ = 9001239108480.

The previous prime is 10524535204121. The next prime is 10524535204171. The reversal of 10524535204141 is 14140253542501.

It is a cyclic number.

It is not a de Polignac number, because 10524535204141 - 215 = 10524535171373 is a prime.

It is a super-2 number, since 2×105245352041412 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 10524535204141.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10524535204121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32284801 + ... + 32609161.

It is an arithmetic number, because the mean of its divisors is an integer number (753402104640).

Almost surely, 210524535204141 is an apocalyptic number.

It is an amenable number.

10524535204141 is a deficient number, since it is larger than the sum of its proper divisors (1529898470099).

10524535204141 is an equidigital number, since it uses as much as digits as its factorization.

10524535204141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334524.

The product of its (nonzero) digits is 96000, while the sum is 37.

Adding to 10524535204141 its reverse (14140253542501), we get a palindrome (24664788746642).

The spelling of 10524535204141 in words is "ten trillion, five hundred twenty-four billion, five hundred thirty-five million, two hundred four thousand, one hundred forty-one".

Divisors: 1 7 479 3353 9677 67739 324361 2270527 4635283 32446981 155368919 1087582433 3138841397 21971889779 1503505029163 10524535204141