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101426226 = 231113111731
BaseRepresentation
bin1100000101110…
…10010000110010
321001211222121220
412002322100302
5201431114401
614021525510
72341052166
oct602722062
9231758556
10101426226
1152286030
1229b73896
1318022a25
14d682ca6
158d87336
hex60ba432

101426226 has 32 divisors (see below), whose sum is σ = 223001856. Its totient is φ = 30498000.

The previous prime is 101426219. The next prime is 101426279. The reversal of 101426226 is 622624101.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 101426196 and 101426205.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2781 + ... + 14511.

It is an arithmetic number, because the mean of its divisors is an integer number (6968808).

Almost surely, 2101426226 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101426226, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111500928).

101426226 is an abundant number, since it is smaller than the sum of its proper divisors (121575630).

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

101426226 is a wasteful number, since it uses less digits than its factorization.

101426226 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11878.

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 101426226 is about 10071.0588321189. The cubic root of 101426226 is about 466.3551266471.

The spelling of 101426226 in words is "one hundred one million, four hundred twenty-six thousand, two hundred twenty-six".

Divisors: 1 2 3 6 11 22 33 66 131 262 393 786 1441 2882 4323 8646 11731 23462 35193 70386 129041 258082 387123 774246 1536761 3073522 4610283 9220566 16904371 33808742 50713113 101426226