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10012012123 = 317341910559
BaseRepresentation
bin10010101001100001…
…10010111001011011
3221211202100220122211
421110300302321123
5131001033341443
64333252055551
7503051461501
oct112460627133
927752326584
1010012012123
114278579993
121b350045b7
13c37334b39
146ad9ac671
153d8e8219d
hex254c32e5b

10012012123 has 16 divisors (see below), whose sum is σ = 10502553600. Its totient is φ = 9532607040.

The previous prime is 10012012111. The next prime is 10012012163. The reversal of 10012012123 is 32121021001.

10012012123 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 10012012123 - 25 = 10012012091 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10012012163) 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, 942918 + ... + 953476.

It is an arithmetic number, because the mean of its divisors is an integer number (656409600).

Almost surely, 210012012123 is an apocalyptic number.

10012012123 is a deficient number, since it is larger than the sum of its proper divisors (490541477).

10012012123 is a wasteful number, since it uses less digits than its factorization.

10012012123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11082.

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 10012012123 its reverse (32121021001), we get a palindrome (42133033124).

The spelling of 10012012123 in words is "ten billion, twelve million, twelve thousand, one hundred twenty-three".

Divisors: 1 31 73 419 2263 10559 12989 30587 327329 770807 948197 4424221 23895017 137150851 322968133 10012012123