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11031211311 = 3171916276997
BaseRepresentation
bin10100100011000001…
…01110110100101111
31001110210011121002220
422101200232310233
5140042442230221
65022341050423
7540235514631
oct122140566457
931423147086
1011031211311
11475091636a
12217a3b6a13
13106a534a93
147690b6a51
154486a70c6
hex29182ed2f

11031211311 has 32 divisors (see below), whose sum is σ = 16405551360. Its totient is φ = 6552285696.

The previous prime is 11031211291. The next prime is 11031211327. The reversal of 11031211311 is 11311213011.

11031211311 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 11031211311 - 211 = 11031209263 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11031211211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1573065 + ... + 1580061.

It is an arithmetic number, because the mean of its divisors is an integer number (512673480).

Almost surely, 211031211311 is an apocalyptic number.

11031211311 is a deficient number, since it is larger than the sum of its proper divisors (5374340049).

11031211311 is a wasteful number, since it uses less digits than its factorization.

11031211311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8663.

The product of its (nonzero) digits is 18, while the sum is 15.

Adding to 11031211311 its reverse (11311213011), we get a palindrome (22342424322).

The spelling of 11031211311 in words is "eleven billion, thirty-one million, two hundred eleven thousand, three hundred eleven".

Divisors: 1 3 17 19 51 57 323 969 1627 4881 6997 20991 27659 30913 82977 92739 118949 132943 356847 398829 525521 1576563 2260031 6780093 11384119 34152357 193530023 216298261 580590069 648894783 3677070437 11031211311