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4106707101 = 33731923339
BaseRepresentation
bin1111010011000111…
…0110000010011101
3101121012111100002000
43310301312002131
531402304111401
61515300552513
7203524302000
oct36461660235
911535440060
104106707101
111818146912
129673b2739
13505a73003
142ad5ad537
15190802186
hexf4c7609d

4106707101 has 64 divisors (see below), whose sum is σ = 7468800000. Its totient is φ = 2223084528.

The previous prime is 4106707097. The next prime is 4106707103. The reversal of 4106707101 is 1017076014.

It is not a de Polignac number, because 4106707101 - 22 = 4106707097 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4106707103) 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 63 ways as a sum of consecutive naturals, for example, 164290 + ... + 187628.

It is an arithmetic number, because the mean of its divisors is an integer number (116700000).

Almost surely, 24106707101 is an apocalyptic number.

It is an amenable number.

4106707101 is a deficient number, since it is larger than the sum of its proper divisors (3362092899).

4106707101 is a wasteful number, since it uses less digits than its factorization.

4106707101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23388 (or 23368 counting only the distinct ones).

The product of its (nonzero) digits is 1176, while the sum is 27.

The square root of 4106707101 is about 64083.5946323238. The cubic root of 4106707101 is about 1601.3929407467.

The spelling of 4106707101 in words is "four billion, one hundred six million, seven hundred seven thousand, one hundred one".

Divisors: 1 3 7 9 19 21 27 49 57 63 133 147 171 189 343 399 441 513 931 1029 1197 1323 2793 3087 3591 6517 8379 9261 19551 23339 25137 58653 70017 163373 175959 210051 443441 490119 630153 1143611 1330323 1470357 3104087 3430833 3990969 4411071 8005277 9312261 10292499 11972907 21728609 24015831 27936783 30877497 65185827 72047493 83810349 152100263 195557481 216142479 456300789 586672443 1368902367 4106707101