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10041141 = 3111372221
BaseRepresentation
bin100110010011…
…011100110101
3200220010212010
4212103130311
510032304031
6555114433
7151230315
oct46233465
920803763
1010041141
115739070
123442a19
132107506
141495445
15d35246
hex993735

10041141 has 16 divisors (see below), whose sum is σ = 14718528. Its totient is φ = 6038400.

The previous prime is 10041131. The next prime is 10041167. The reversal of 10041141 is 14114001.

It is not a de Polignac number, because 10041141 - 27 = 10041013 is a prime.

It is a zygodrome in base 6.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10041131) 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, 3411 + ... + 5631.

It is an arithmetic number, because the mean of its divisors is an integer number (919908).

Almost surely, 210041141 is an apocalyptic number.

10041141 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10041141 is a deficient number, since it is larger than the sum of its proper divisors (4677387).

10041141 is a wasteful number, since it uses less digits than its factorization.

10041141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2372.

The product of its (nonzero) digits is 16, while the sum is 12.

The square root of 10041141 is about 3168.7759466393. The cubic root of 10041141 is about 215.7385167457.

Adding to 10041141 its reverse (14114001), we get a palindrome (24155142).

It can be divided in two parts, 1004 and 1141, that added together give a triangular number (2145 = T65).

The spelling of 10041141 in words is "ten million, forty-one thousand, one hundred forty-one".

Divisors: 1 3 11 33 137 411 1507 2221 4521 6663 24431 73293 304277 912831 3347047 10041141