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10522524324 = 22313434673359
BaseRepresentation
bin10011100110011000…
…01111101010100100
31000011022222121202010
421303030033222210
5133022231234244
64500050114220
7521520660324
oct116314175244
930138877663
1010522524324
11450a7662a4
122057b7b970
13cb902a970
1471b6dd284
15418bc4eb9
hex27330faa4

10522524324 has 96 divisors (see below), whose sum is σ = 27122135040. Its totient is φ = 3154693248.

The previous prime is 10522524319. The next prime is 10522524329. The reversal of 10522524324 is 42342522501.

10522524324 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10522524319) and next prime (10522524329).

It is a super-2 number, since 2×105225243242 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10522524291 and 10522524300.

It is not an unprimeable number, because it can be changed into a prime (10522524329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3130957 + ... + 3134315.

It is an arithmetic number, because the mean of its divisors is an integer number (282522240).

Almost surely, 210522524324 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10522524324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13561067520).

10522524324 is an abundant number, since it is smaller than the sum of its proper divisors (16599610716).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10522524324 is a wasteful number, since it uses less digits than its factorization.

10522524324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3889 (or 3887 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 30.

The spelling of 10522524324 in words is "ten billion, five hundred twenty-two million, five hundred twenty-four thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 12 13 26 39 43 52 78 86 129 156 172 258 467 516 559 934 1118 1401 1677 1868 2236 2802 3354 3359 5604 6071 6708 6718 10077 12142 13436 18213 20081 20154 24284 36426 40162 40308 43667 60243 72852 80324 87334 120486 131001 144437 174668 240972 261053 262002 288874 433311 522106 524004 577748 783159 866622 1044212 1566318 1568653 1733244 1877681 3132636 3137306 3755362 4705959 5633043 6274612 7510724 9411918 11266086 18823836 20392489 22532172 40784978 61177467 67452079 81569956 122354934 134904158 202356237 244709868 269808316 404712474 809424948 876877027 1753754054 2630631081 3507508108 5261262162 10522524324