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214003041 = 37213111113
BaseRepresentation
bin11001100000101…
…10110101100001
3112220200110222120
430300112311201
5414241044131
633122454453
75205665400
oct1460266541
9486613876
10214003041
11aa88771a
125b804429
133544ac25
14205c9637
1513bc3496
hexcc16d61

214003041 has 24 divisors (see below), whose sum is σ = 334486944. Its totient is φ = 121343040.

The previous prime is 214003039. The next prime is 214003051. The reversal of 214003041 is 140300412.

It is not a de Polignac number, because 214003041 - 21 = 214003039 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 214003041.

It is not an unprimeable number, because it can be changed into a prime (214003051) 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, 13701 + ... + 24813.

It is an arithmetic number, because the mean of its divisors is an integer number (13936956).

Almost surely, 2214003041 is an apocalyptic number.

214003041 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

214003041 is a deficient number, since it is larger than the sum of its proper divisors (120483903).

214003041 is a wasteful number, since it uses less digits than its factorization.

214003041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11261 (or 11254 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 214003041 is about 14628.8427771987. The cubic root of 214003041 is about 598.1452362158.

Adding to 214003041 its reverse (140300412), we get a palindrome (354303453).

The spelling of 214003041 in words is "two hundred fourteen million, three thousand, forty-one".

Divisors: 1 3 7 21 49 131 147 393 917 2751 6419 11113 19257 33339 77791 233373 544537 1455803 1633611 4367409 10190621 30571863 71334347 214003041