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41101014420 = 22325228338969
BaseRepresentation
bin100110010001110011…
…111011010110010100
310221002101210212100100
4212101303323112110
51133133324430140
630514225214100
72653343600244
oct462163732624
9127071725310
1041101014420
11164814a6514
127b70791330
133b501c9b9b
141dbc8d1b24
1511084bd530
hex991cfb594

41101014420 has 36 divisors (see below), whose sum is σ = 124673077620. Its totient is φ = 10960270464.

The previous prime is 41101014413. The next prime is 41101014431. The reversal of 41101014420 is 2441010114.

It can be written as a sum of positive squares in 2 ways, for example, as 13522433796 + 27578580624 = 116286^2 + 166068^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-3 number, since 3×411010144203 (a number of 33 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 41101014393 and 41101014402.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 114169305 + ... + 114169664.

It is an arithmetic number, because the mean of its divisors is an integer number (3463141045).

Almost surely, 241101014420 is an apocalyptic number.

It is an amenable number.

41101014420 is an abundant number, since it is smaller than the sum of its proper divisors (83572063200).

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

41101014420 is a wasteful number, since it uses less digits than its factorization.

41101014420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228338984 (or 228338979 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 41101014420 its reverse (2441010114), we get a palindrome (43542024534).

The spelling of 41101014420 in words is "forty-one billion, one hundred one million, fourteen thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 228338969 456677938 685016907 913355876 1141694845 1370033814 2055050721 2283389690 2740067628 3425084535 4110101442 4566779380 6850169070 8220202884 10275253605 13700338140 20550507210 41101014420