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4006101 = 3111737193
BaseRepresentation
bin1111010010000011010101
321112112100010
433102003111
52011143401
6221510433
746023411
oct17220325
97475303
104006101
112296930
121412419
13aa3598
14763d41
15541ed6
hex3d20d5

4006101 has 32 divisors (see below), whose sum is σ = 6369408. Its totient is φ = 2211840.

The previous prime is 4006097. The next prime is 4006103. The reversal of 4006101 is 1016004.

4006101 = T678 + T679 + ... + T694.

4006101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 4006101 - 22 = 4006097 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4006103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20661 + ... + 20853.

It is an arithmetic number, because the mean of its divisors is an integer number (199044).

Almost surely, 24006101 is an apocalyptic number.

It is an amenable number.

4006101 is a deficient number, since it is larger than the sum of its proper divisors (2363307).

4006101 is a wasteful number, since it uses less digits than its factorization.

4006101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261.

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 4006101 is about 2001.5246688462. The cubic root of 4006101 is about 158.8207703144.

The spelling of 4006101 in words is "four million, six thousand, one hundred one".

Divisors: 1 3 11 17 33 37 51 111 187 193 407 561 579 629 1221 1887 2123 3281 6369 6919 7141 9843 20757 21423 36091 78551 108273 121397 235653 364191 1335367 4006101