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10011123112 = 234492787061
BaseRepresentation
bin10010101001011010…
…11001110110101000
3221211200200202011111
421110231121312220
5131000321414422
64333221040104
7503041066564
oct112455316650
927750622144
1010011123112
114278021a71
121b34856034
13c370b32b3
146ad81a6a4
153d8d58a77
hex254b59da8

10011123112 has 16 divisors (see below), whose sum is σ = 18812668500. Its totient is φ = 4994411520.

The previous prime is 10011123077. The next prime is 10011123119. The reversal of 10011123112 is 21132111001.

It is a happy number.

10011123112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 10009202116 + 1920996 = 100046^2 + 1386^2 .

It is a junction number, because it is equal to n+sod(n) for n = 10011123092 and 10011123101.

It is not an unprimeable number, because it can be changed into a prime (10011123119) 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 3 ways as a sum of consecutive naturals, for example, 1389939 + ... + 1397122.

Almost surely, 210011123112 is an apocalyptic number.

It is an amenable number.

10011123112 is a deficient number, since it is larger than the sum of its proper divisors (8801545388).

10011123112 is a wasteful number, since it uses less digits than its factorization.

10011123112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2787516 (or 2787512 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 13.

Adding to 10011123112 its reverse (21132111001), we get a palindrome (31143234113).

The spelling of 10011123112 in words is "ten billion, eleven million, one hundred twenty-three thousand, one hundred twelve".

Divisors: 1 2 4 8 449 898 1796 3592 2787061 5574122 11148244 22296488 1251390389 2502780778 5005561556 10011123112