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11223133132211 = 7111311211921211
BaseRepresentation
bin1010001101010001011011…
…0111010001010110110011
31110201220212110000020110022
42203110112313101112303
52432334434040212321
635511500340554055
72235562462414430
oct243242667212663
943656773006408
1011223133132211
1136377820807a0
1213131506b292b
1363544c276730
142ab2b9abcb87
15146e15989dab
hexa3516dd15b3

11223133132211 has 16 divisors (see below), whose sum is σ = 15068822108928. Its totient is φ = 8072583271200.

The previous prime is 11223133132201. The next prime is 11223133132223.

11223133132211 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 11223133132211 - 218 = 11223132870067 is a prime.

It is not an unprimeable number, because it can be changed into a prime (11223133132201) 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 15 ways as a sum of consecutive naturals, for example, 5605959605 + ... + 5605961606.

It is an arithmetic number, because the mean of its divisors is an integer number (941801381808).

Almost surely, 211223133132211 is an apocalyptic number.

11223133132211 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11223133132211 is a deficient number, since it is larger than the sum of its proper divisors (3845688976717).

11223133132211 is a wasteful number, since it uses less digits than its factorization.

11223133132211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11211921242.

The product of its digits is 1296, while the sum is 26.

It can be divided in two parts, 1122313 and 3132211, that added together give a palindrome (4254524).

The spelling of 11223133132211 in words is "eleven trillion, two hundred twenty-three billion, one hundred thirty-three million, one hundred thirty-two thousand, two hundred eleven".

Divisors: 1 7 11 13 77 91 143 1001 11211921211 78483448477 123331133321 145754975743 863317933247 1020284830201 1603304733173 11223133132211