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112002000200211 = 311328339901019
BaseRepresentation
bin11001011101110101111111…
…011011111010001000010011
3112200120021201222010022221110
4121131311333123322020103
5104140020044022401321
61034113001504024403
732406606655452252
oct3135657733721023
9480507658108843
10112002000200211
1132761866255000
121068a8a3302103
134a65988050044
141d92cd62dc799
15ce36680e2176
hex65dd7f6fa213

112002000200211 has 32 divisors (see below), whose sum is σ = 164316377422080. Its totient is φ = 67856032801920.

The previous prime is 112002000200017. The next prime is 112002000200221.

112002000200211 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 112002000200211 - 227 = 112001865982483 is a prime.

It is not an unprimeable number, because it can be changed into a prime (112002000200221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6361660 + ... + 16262678.

It is an arithmetic number, because the mean of its divisors is an integer number (5134886794440).

Almost surely, 2112002000200211 is an apocalyptic number.

112002000200211 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

112002000200211 is a deficient number, since it is larger than the sum of its proper divisors (52314377221869).

112002000200211 is an equidigital number, since it uses as much as digits as its factorization.

112002000200211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9903888 (or 9903866 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

It can be divided in two parts, 112002000 and 200211, that added together give a palindrome (112202211).

The spelling of 112002000200211 in words is "one hundred twelve trillion, two billion, two hundred thousand, two hundred eleven".

Divisors: 1 3 11 33 121 363 1331 2833 3993 8499 31163 93489 342793 1028379 3770723 9901019 11312169 29703057 108911209 326733627 1198023299 3594069897 13178256289 28049586827 39534768867 84148760481 308545455097 925636365291 3394000006067 10182000018201 37334000066737 112002000200211