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101643426 = 23219439677
BaseRepresentation
bin1100000111011…
…11010010100010
321002021000120100
412003233102202
5202010042201
614030323230
72342645343
oct603572242
9232230510
10101643426
1152414235
122a059516
131809a851
14d6dc0ca
158dcb886
hex60ef4a2

101643426 has 48 divisors (see below), whose sum is σ = 232689600. Its totient is φ = 31977504.

The previous prime is 101643413. The next prime is 101643431. The reversal of 101643426 is 624346101.

101643426 is a `hidden beast` number, since 10 + 1 + 643 + 4 + 2 + 6 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 101643426.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 149800 + ... + 150476.

It is an arithmetic number, because the mean of its divisors is an integer number (4847700).

Almost surely, 2101643426 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101643426, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116344800).

101643426 is an abundant number, since it is smaller than the sum of its proper divisors (131046174).

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

101643426 is a wasteful number, since it uses less digits than its factorization.

101643426 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1143 (or 1140 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 101643426 is about 10081.8364398556. The cubic root of 101643426 is about 466.6877826046.

Adding to 101643426 its reverse (624346101), we get a palindrome (725989527).

The spelling of 101643426 in words is "one hundred one million, six hundred forty-three thousand, four hundred twenty-six".

Divisors: 1 2 3 6 9 18 19 38 57 114 171 342 439 677 878 1317 1354 2031 2634 3951 4062 6093 7902 8341 12186 12863 16682 25023 25726 38589 50046 75069 77178 115767 150138 231534 297203 594406 891609 1783218 2674827 5349654 5646857 11293714 16940571 33881142 50821713 101643426