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10424013141 = 329975932083
BaseRepresentation
bin10011011010101000…
…11101000101010101
3222220110121201210210
421231110131011111
5132322021410031
64442210440033
7516213435603
oct115524350525
928813551723
1010424013141
11446a0a13a3
12202ab93019
13ca17b8a19
1470c5b8873
15410216746
hex26d51d155

10424013141 has 32 divisors (see below), whose sum is σ = 14557656960. Its totient is φ = 6626156544.

The previous prime is 10424013137. The next prime is 10424013167. The reversal of 10424013141 is 14131042401.

10424013141 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10424013141 - 22 = 10424013137 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10424013191) 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, 5003286 + ... + 5005368.

It is an arithmetic number, because the mean of its divisors is an integer number (454926780).

Almost surely, 210424013141 is an apocalyptic number.

It is an amenable number.

10424013141 is a deficient number, since it is larger than the sum of its proper divisors (4133643819).

10424013141 is a wasteful number, since it uses less digits than its factorization.

10424013141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2805.

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 10424013141 its reverse (14131042401), we get a palindrome (24555055542).

The spelling of 10424013141 in words is "ten billion, four hundred twenty-four million, thirteen thousand, one hundred forty-one".

Divisors: 1 3 29 87 97 291 593 1779 2083 2813 6249 8439 17197 51591 57521 60407 172563 181221 202051 606153 1235219 1668109 3705657 5004327 5859479 17578437 35821351 107464053 119816243 359448729 3474671047 10424013141