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1001004141 = 34796171129
BaseRepresentation
bin111011101010100…
…001110001101101
32120202120021112110
4323222201301231
54022224113031
6243154554233
733543252264
oct7352416155
92522507473
101001004141
1147404a255
1223b298979
1312c4cc257
1496d2d5db
155cd2dc46
hex3baa1c6d

1001004141 has 16 divisors (see below), whose sum is σ = 1340812800. Its totient is φ = 664274688.

The previous prime is 1001004101. The next prime is 1001004157. The reversal of 1001004141 is 1414001001.

It is not a de Polignac number, because 1001004141 - 221 = 998906989 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001004101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 886065 + ... + 887193.

It is an arithmetic number, because the mean of its divisors is an integer number (83800800).

Almost surely, 21001004141 is an apocalyptic number.

It is an amenable number.

1001004141 is a deficient number, since it is larger than the sum of its proper divisors (339808659).

1001004141 is a wasteful number, since it uses less digits than its factorization.

1001004141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2228.

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

The square root of 1001004141 is about 31638.6494812911. The cubic root of 1001004141 is about 1000.3346016959.

Adding to 1001004141 its reverse (1414001001), we get a palindrome (2415005142).

The spelling of 1001004141 in words is "one billion, one million, four thousand, one hundred forty-one".

Divisors: 1 3 479 617 1129 1437 1851 3387 295543 540791 696593 886629 1622373 2089779 333668047 1001004141