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111111112001021 = 113617119274861
BaseRepresentation
bin11001010000111000010010…
…010111001000010111111101
3112120102010012102210200121012
4121100320102113020113331
5104030421024133013041
61032151423514045005
732255340635634536
oct3120702227102775
9476363172720535
10111111112001021
1132448a5a078000
12105660b2719765
1349cc96b25a162
141d61b4111168d
15cca3c59c83eb
hex650e125c85fd

111111112001021 has 32 divisors (see below), whose sum is σ = 125966928529152. Its totient is φ = 97954838520000.

The previous prime is 111111112001017. The next prime is 111111112001051. The reversal of 111111112001021 is 120100211111111.

It is not a de Polignac number, because 111111112001021 - 22 = 111111112001017 is a prime.

It is a super-4 number, since 4×1111111120010214 (a number of 57 digits) contains 4444 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 111111112000987 and 111111112001005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111111112001051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3872870 + ... + 15401991.

It is an arithmetic number, because the mean of its divisors is an integer number (3936466516536).

Almost surely, 2111111112001021 is an apocalyptic number.

111111112001021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

111111112001021 is a deficient number, since it is larger than the sum of its proper divisors (14855816528131).

111111112001021 is an equidigital number, since it uses as much as digits as its factorization.

111111112001021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19275026 (or 19275004 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 14.

Adding to 111111112001021 its reverse (120100211111111), we get a palindrome (231211323112132).

The spelling of 111111112001021 in words is "one hundred eleven trillion, one hundred eleven billion, one hundred twelve million, one thousand, twenty-one".

Divisors: 1 11 61 71 121 671 781 1331 4331 7381 8591 47641 81191 94501 524051 5764561 19274861 212023471 1175766521 1368515131 2332258181 12933431731 15053666441 25654839991 83479422991 142267749041 165590330851 918273652901 1564945239451 1821493639361 10101010181911 111111112001021