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101561226 = 23132372707
BaseRepresentation
bin1100000110110…
…11001110001010
321002002211210220
412003123032022
5201444424401
614024450510
72342153604
oct603331612
9232084726
10101561226
11523684a8
122a019a36
131806c300
14d6ba174
158db2336
hex60db38a

101561226 has 48 divisors (see below), whose sum is σ = 225977184. Its totient is φ = 30393792.

The previous prime is 101561221. The next prime is 101561249. The reversal of 101561226 is 622165101.

It is a junction number, because it is equal to n+sod(n) for n = 101561196 and 101561205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101561221) by changing a digit.

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, 36165 + ... + 38871.

It is an arithmetic number, because the mean of its divisors is an integer number (4707858).

Almost surely, 2101561226 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101561226, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112988592).

101561226 is an abundant number, since it is smaller than the sum of its proper divisors (124415958).

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

101561226 is a wasteful number, since it uses less digits than its factorization.

101561226 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2775 (or 2762 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

The square root of 101561226 is about 10077.7589770742. The cubic root of 101561226 is about 466.5619437348.

The spelling of 101561226 in words is "one hundred one million, five hundred sixty-one thousand, two hundred twenty-six".

Divisors: 1 2 3 6 13 26 37 39 74 78 111 169 222 338 481 507 962 1014 1443 2707 2886 5414 6253 8121 12506 16242 18759 35191 37518 70382 100159 105573 200318 211146 300477 457483 600954 914966 1302067 1372449 2604134 2744898 3906201 7812402 16926871 33853742 50780613 101561226