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10523820341 = 101401259841
BaseRepresentation
bin10011100110100010…
…01100000100110101
31000011102102110112202
421303101030010311
5133023044222331
64500133554245
7521534665646
oct116321140465
930142373482
1010523820341
114510470a91
1220584a5985
13cb9392838
1471b9596cd
15418d7decb
hex27344c135

10523820341 has 8 divisors (see below), whose sum is σ = 10654561368. Its totient is φ = 10393600000.

The previous prime is 10523820331. The next prime is 10523820401. The reversal of 10523820341 is 14302832501.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 5432427025 + 5091393316 = 73705^2 + 71354^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10523820341 is a prime.

It is a super-2 number, since 2×105238203412 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10523820331) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 89420 + ... + 170421.

It is an arithmetic number, because the mean of its divisors is an integer number (1331820171).

Almost surely, 210523820341 is an apocalyptic number.

It is an amenable number.

10523820341 is a deficient number, since it is larger than the sum of its proper divisors (130741027).

10523820341 is a wasteful number, since it uses less digits than its factorization.

10523820341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260343.

The product of its (nonzero) digits is 5760, while the sum is 29.

The spelling of 10523820341 in words is "ten billion, five hundred twenty-three million, eight hundred twenty thousand, three hundred forty-one".

Divisors: 1 101 401 40501 259841 26243941 104196241 10523820341