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10010524041432 = 2332139035056131
BaseRepresentation
bin1001000110101100000110…
…1110101100000011011000
31022102222220122001221122200
42101223001232230003120
52303003023123311212
633142434331450200
72052144055253655
oct221530156540330
938388818057580
1010010524041432
11320a491936122
1211581342b6960
13577cb0597885
14268724b04c2c
151255e3d176dc
hex91ac1bac0d8

10010524041432 has 24 divisors (see below), whose sum is σ = 27111835945740. Its totient is φ = 3336841347120.

The previous prime is 10010524041431. The next prime is 10010524041571. The reversal of 10010524041432 is 23414042501001.

10010524041432 is a `hidden beast` number, since 1 + 0 + 0 + 1 + 0 + 5 + 240 + 414 + 3 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×100105240414322 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10010524041396 and 10010524041405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10010524041431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 69517527994 + ... + 69517528137.

Almost surely, 210010524041432 is an apocalyptic number.

10010524041432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10010524041432 is an abundant number, since it is smaller than the sum of its proper divisors (17101311904308).

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

10010524041432 is a wasteful number, since it uses less digits than its factorization.

10010524041432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139035056143 (or 139035056136 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 10010524041432 its reverse (23414042501001), we get a palindrome (33424566542433).

The spelling of 10010524041432 in words is "ten trillion, ten billion, five hundred twenty-four million, forty-one thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 139035056131 278070112262 417105168393 556140224524 834210336786 1112280449048 1251315505179 1668420673572 2502631010358 3336841347144 5005262020716 10010524041432