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10001112012 = 2233383241783
BaseRepresentation
bin10010101000001110…
…01101101111001100
3221210222212010112000
421110013031233030
5130440241041022
64332222312300
7502560022653
oct112407155714
927728763460
1010001112012
114272404531
121b31428690
13c34cb9678
146ac37219a
153d802c6ac
hex2541cdbcc

10001112012 has 48 divisors (see below), whose sum is σ = 25996615680. Its totient is φ = 3324986064.

The previous prime is 10001111987. The next prime is 10001112067. The reversal of 10001112012 is 21021110001.

It is a happy number.

10001112012 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 10001111985 and 10001112003.

It is an unprimeable number.

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, 79528 + ... + 162255.

It is an arithmetic number, because the mean of its divisors is an integer number (541596160).

Almost surely, 210001112012 is an apocalyptic number.

10001112012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10001112012 is an abundant number, since it is smaller than the sum of its proper divisors (15995503668).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10001112012 is a wasteful number, since it uses less digits than its factorization.

10001112012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242179 (or 242171 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 10001112012 its reverse (21021110001), we get a palindrome (31022222013).

The spelling of 10001112012 in words is "ten billion, one million, one hundred twelve thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 383 766 1149 1532 2298 3447 4596 6894 10341 13788 20682 41364 241783 483566 725349 967132 1450698 2176047 2901396 4352094 6528141 8704188 13056282 26112564 92602889 185205778 277808667 370411556 555617334 833426001 1111234668 1666852002 2500278003 3333704004 5000556006 10001112012