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112323323323211 = 71121310139901
BaseRepresentation
bin11001100010100001001111…
…110010010110001101001011
3112201201000010112021020110212
4121202201033302112031023
5104210301131232320321
61034520342233431335
732442043443106160
oct3142411762261513
9481630115236425
10112323323323211
1132876065831200
121072101986b54b
134a8a0756c92a0
141da4699346067
15cebbc277855b
hex66284fc9634b

112323323323211 has 96 divisors (see below), whose sum is σ = 153489289795968. Its totient is φ = 79984000800000.

The previous prime is 112323323323139. The next prime is 112323323323273.

112323323323211 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 112323323323211 - 218 = 112323323061067 is a prime.

It is not an unprimeable number, because it can be changed into a prime (112323323313211) 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 95 ways as a sum of consecutive naturals, for example, 11344639361 + ... + 11344649261.

It is an arithmetic number, because the mean of its divisors is an integer number (1598846768708).

Almost surely, 2112323323323211 is an apocalyptic number.

112323323323211 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

112323323323211 is a deficient number, since it is larger than the sum of its proper divisors (41165966472757).

112323323323211 is an frugal number, since it uses more digits than its factorization.

112323323323211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10246 (or 10033 counting only the distinct ones).

The product of its digits is 23328, while the sum is 32.

It can be divided in two parts, 112 and 323323323211, that added together give a palindrome (323323323323).

The spelling of 112323323323211 in words is "one hundred twelve trillion, three hundred twenty-three billion, three hundred twenty-three million, three hundred twenty-three thousand, two hundred eleven".

Divisors: 1 7 11 13 77 91 101 121 143 707 847 1001 1111 1313 1573 7777 9191 9901 10201 11011 12221 14443 69307 71407 85547 101101 108911 112211 128713 132613 158873 762377 785477 900991 928291 1000001 1030301 1112111 1198021 1234321 1415843 1458743 7000007 7212107 8386147 8640247 9910901 10211201 11000011 11333311 13000013 13393913 15574273 16046173 77000077 79333177 91000091 93757391 101000101 109019911 112323211 121000121 124666421 143000143 147333043 707000707 847000847 872664947 1001001001 1031331301 1111001111 1313001313 1573001573 1620663473 7777007777 9191009191 10201010201 11011011011 11344644311 12221012221 14443014443 71407071407 85547085547 101101101101 112211112211 132613132613 158873158873 785477785477 928291928291 1112112112111 1234322234321 1458744458743 8640255640247 10211211211201 16046189046173 112323323323211