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10106002087 = 174733473779
BaseRepresentation
bin10010110100101110…
…10101101010100111
3222002022020002122121
421122113111222213
5131144114031322
64350450410411
7505302412636
oct113227255247
928068202577
1010106002087
114316635a45
121b60590a07
13c50952bbc
146bc27751d
153e234aec7
hex25a5d5aa7

10106002087 has 16 divisors (see below), whose sum is σ = 10934300160. Its totient is φ = 9303914368.

The previous prime is 10106002061. The next prime is 10106002097. The reversal of 10106002087 is 78020060101.

It is a cyclic number.

It is not a de Polignac number, because 10106002087 - 219 = 10105477799 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10106002007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2672364 + ... + 2676142.

It is an arithmetic number, because the mean of its divisors is an integer number (683393760).

Almost surely, 210106002087 is an apocalyptic number.

10106002087 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

10106002087 is a deficient number, since it is larger than the sum of its proper divisors (828298073).

10106002087 is a wasteful number, since it uses less digits than its factorization.

10106002087 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7190.

The product of its (nonzero) digits is 672, while the sum is 25.

Adding to 10106002087 its reverse (78020060101), we get a palindrome (88126062188).

The spelling of 10106002087 in words is "ten billion, one hundred six million, two thousand, eighty-seven".

Divisors: 1 17 47 799 3347 3779 56899 64243 157309 177613 2674253 3019421 12648313 215021321 594470711 10106002087