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320210011121 = 71113702745523
BaseRepresentation
bin1001010100011100000…
…00010000001111110001
31010121111222121222002112
410222032000100033301
520221242230323441
6403034043455105
732064050120510
oct4521600201761
91117458558075
10320210011121
11113889226830
1252085827495
1324270b87480
14116d9294677
1584e1ab04eb
hex4a8e0103f1

320210011121 has 32 divisors (see below), whose sum is σ = 430002951168. Its totient is φ = 230283051840.

The previous prime is 320210011097. The next prime is 320210011123. The reversal of 320210011121 is 121110012023.

It is a cyclic number.

It is not a de Polignac number, because 320210011121 - 230 = 319136269297 is a prime.

It is a super-3 number, since 3×3202100111213 (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 320210011096 and 320210011105.

It is not an unprimeable number, because it can be changed into a prime (320210011123) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7011266 + ... + 7056788.

It is an arithmetic number, because the mean of its divisors is an integer number (13437592224).

Almost surely, 2320210011121 is an apocalyptic number.

It is an amenable number.

320210011121 is a deficient number, since it is larger than the sum of its proper divisors (109792940047).

320210011121 is a wasteful number, since it uses less digits than its factorization.

320210011121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52581.

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 320210011121 its reverse (121110012023), we get a palindrome (441320023144).

The spelling of 320210011121 in words is "three hundred twenty billion, two hundred ten million, eleven thousand, one hundred twenty-one".

Divisors: 1 7 11 13 77 91 143 1001 7027 45523 49189 77297 91351 318661 500753 541079 591799 639457 1004861 3505271 4142593 6509789 7034027 45568523 319890121 2239230847 3518791331 4158571573 24631539317 29110001011 45744287303 320210011121