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6106010001 = 3721329239461
BaseRepresentation
bin1011010111111001…
…00101000110010001
3120202112112110001120
411223330211012101
5100001114310001
62445520552453
7304212141300
oct55374450621
916675473046
106106010001
112653757763
121224a82729
13764034c90
1441cd26437
1525b0c8236
hex16bf25191

6106010001 has 96 divisors (see below), whose sum is σ = 10617868800. Its totient is φ = 3089963520.

The previous prime is 6106009999. The next prime is 6106010023. The reversal of 6106010001 is 1000106016.

It is not a de Polignac number, because 6106010001 - 21 = 6106009999 is a prime.

It is not an unprimeable number, because it can be changed into a prime (6106010051) 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 95 ways as a sum of consecutive naturals, for example, 13244911 + ... + 13245371.

It is an arithmetic number, because the mean of its divisors is an integer number (110602800).

Almost surely, 26106010001 is an apocalyptic number.

It is an amenable number.

6106010001 is a deficient number, since it is larger than the sum of its proper divisors (4511858799).

6106010001 is a wasteful number, since it uses less digits than its factorization.

6106010001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 759 (or 752 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

The square root of 6106010001 is about 78140.9623756964. The cubic root of 6106010001 is about 1827.7600073453.

Adding to 6106010001 its reverse (1000106016), we get a palindrome (7106116017).

The spelling of 6106010001 in words is "six billion, one hundred six million, ten thousand, one".

Divisors: 1 3 7 13 21 29 39 49 87 91 147 203 239 273 377 461 609 637 717 1131 1383 1421 1673 1911 2639 3107 3227 4263 5019 5993 6931 7917 9321 9681 11711 13369 17979 18473 20793 21749 22589 35133 40107 41951 48517 55419 65247 67767 90103 93583 110179 125853 145551 152243 173797 270309 280749 293657 330537 339619 456729 521391 630721 655081 771253 880971 1018857 1216579 1432327 1892163 1965243 2313759 3195191 3649737 4296981 4415047 5398771 8516053 9585573 10026289 13245141 16196313 22366337 25548159 30078867 41537483 67099011 70184023 124612449 156564359 210552069 290762381 469693077 872287143 2035336667 6106010001