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10106005006 = 2237910912549
BaseRepresentation
bin10010110100101110…
…10110011000001110
3222002022020020122201
421122113112120032
5131144114130011
64350450432114
7505302424306
oct113227263016
928068206581
1010106005006
114316638159
121b6059263a
13c50954326
146bc278606
153e234bcc1
hex25a5d660e

10106005006 has 32 divisors (see below), whose sum is σ = 16039296000. Its totient is φ = 4765881120.

The previous prime is 10106005003. The next prime is 10106005033. The reversal of 10106005006 is 60050060101.

10106005006 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10106005003) 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, 3963420 + ... + 3965968.

It is an arithmetic number, because the mean of its divisors is an integer number (501228000).

Almost surely, 210106005006 is an apocalyptic number.

10106005006 is a deficient number, since it is larger than the sum of its proper divisors (5933290994).

10106005006 is a wasteful number, since it uses less digits than its factorization.

10106005006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3744.

The product of its (nonzero) digits is 180, while the sum is 19.

Adding to 10106005006 its reverse (60050060101), we get a palindrome (70156065107).

The spelling of 10106005006 in words is "ten billion, one hundred six million, five thousand, six".

Divisors: 1 2 23 46 79 158 1091 1817 2182 2549 3634 5098 25093 50186 58627 86189 117254 172378 201371 402742 1982347 2780959 3964694 4631533 5561918 9263066 63962057 127924114 219695761 439391522 5053002503 10106005006