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10010610005 = 511971876403
BaseRepresentation
bin10010101001010110…
…11100100101010101
3221211122201200022112
421110223130211111
5131000204010010
64333202040405
7503033531624
oct112453344525
927748650275
1010010610005
114277801510
121b34649105
13c36c63896
146ad7256bb
153d8ca6a05
hex254adc955

10010610005 has 16 divisors (see below), whose sum is σ = 13239906624. Its totient is φ = 7205383680.

The previous prime is 10010609981. The next prime is 10010610007. The reversal of 10010610005 is 50001601001.

10010610005 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 10010610005 - 26 = 10010609941 is a prime.

It is a super-4 number, since 4×100106100054 (a number of 41 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10010610007) 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, 932867 + ... + 943536.

It is an arithmetic number, because the mean of its divisors is an integer number (827494164).

Almost surely, 210010610005 is an apocalyptic number.

It is an amenable number.

10010610005 is a deficient number, since it is larger than the sum of its proper divisors (3229296619).

10010610005 is a wasteful number, since it uses less digits than its factorization.

10010610005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1876516.

The product of its (nonzero) digits is 30, while the sum is 14.

The spelling of 10010610005 in words is "ten billion, ten million, six hundred ten thousand, five".

Divisors: 1 5 11 55 97 485 1067 5335 1876403 9382015 20640433 103202165 182011091 910055455 2002122001 10010610005