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10011111012 = 2232725675233
BaseRepresentation
bin10010101001011010…
…10110111001100100
3221211200200010120100
421110231112321210
5131000321023022
64333220504100
7503041016400
oct112455267144
927750603510
1010011111012
114278013971
121b3484b030
13c370aa936
146ad816100
153d8d551ac
hex254b56e64

10011111012 has 54 divisors (see below), whose sum is σ = 29437438758. Its totient is φ = 2860316928.

The previous prime is 10011110971. The next prime is 10011111023. The reversal of 10011111012 is 21011111001.

10011111012 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 only one way, i.e., 8946133056 + 1064977956 = 94584^2 + 32634^2 .

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 = 10011110985 and 10011111003.

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 17 ways as a sum of consecutive naturals, for example, 2835853 + ... + 2839380.

Almost surely, 210011111012 is an apocalyptic number.

10011111012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10011111012 is an abundant number, since it is smaller than the sum of its proper divisors (19426327746).

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

10011111012 is a wasteful number, since it uses less digits than its factorization.

10011111012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5675257 (or 5675245 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 10011111012 its reverse (21011111001), we get a palindrome (31022222013).

The spelling of 10011111012 in words is "ten billion, eleven million, one hundred eleven thousand, twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 84 98 126 147 196 252 294 441 588 882 1764 5675233 11350466 17025699 22700932 34051398 39726631 51077097 68102796 79453262 102154194 119179893 158906524 204308388 238359786 278086417 357539679 476719572 556172834 715079358 834259251 1112345668 1430158716 1668518502 2502777753 3337037004 5005555506 10011111012