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41100137 = 1347137491
BaseRepresentation
bin1001110011001…
…0001101101001
32212100002210022
42130302031221
541010201022
64024530225
71006226321
oct234621551
985302708
1041100137
1121222161
1211920975
138690510
14565c281
15391cc42
hex2732369

41100137 has 16 divisors (see below), whose sum is σ = 45626112. Its totient is φ = 36785280.

The previous prime is 41100133. The next prime is 41100139. The reversal of 41100137 is 73100114.

41100137 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 41100137 - 22 = 41100133 is a prime.

It is a super-2 number, since 2×411001372 = 3378442522837538, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (41100133) 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 15 ways as a sum of consecutive naturals, for example, 83462 + ... + 83952.

It is an arithmetic number, because the mean of its divisors is an integer number (2851632).

Almost surely, 241100137 is an apocalyptic number.

41100137 is a gapful number since it is divisible by the number (47) formed by its first and last digit.

It is an amenable number.

41100137 is a deficient number, since it is larger than the sum of its proper divisors (4525975).

41100137 is a wasteful number, since it uses less digits than its factorization.

41100137 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 688.

The product of its (nonzero) digits is 84, while the sum is 17.

The square root of 41100137 is about 6410.9388548012. The cubic root of 41100137 is about 345.1022227367.

The spelling of 41100137 in words is "forty-one million, one hundred thousand, one hundred thirty-seven".

Divisors: 1 13 47 137 491 611 1781 6383 6439 23077 67267 83707 300001 874471 3161549 41100137