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11020122311 = 11341892269
BaseRepresentation
bin10100100001101100…
…11011100011000111
31001110000022012212012
422100312123203013
5140032122403221
65021303244435
7540042331322
oct122066334307
931400265765
1011020122311
114745632000
12217674971b
131068151643
1476782b7b9
1544771665b
hex290d9b8c7

11020122311 has 32 divisors (see below), whose sum is σ = 12561998400. Its totient is φ = 9659865600.

The previous prime is 11020122299. The next prime is 11020122329. The reversal of 11020122311 is 11322102011.

11020122311 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 11020122311 - 214 = 11020105927 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11020122371) 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, 4855685 + ... + 4857953.

It is an arithmetic number, because the mean of its divisors is an integer number (392562450).

Almost surely, 211020122311 is an apocalyptic number.

11020122311 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11020122311 is a deficient number, since it is larger than the sum of its proper divisors (1541876089).

11020122311 is an equidigital number, since it uses as much as digits as its factorization.

11020122311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2432 (or 2410 counting only the distinct ones).

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

Adding to 11020122311 its reverse (11322102011), we get a palindrome (22342224322).

It can be divided in two parts, 11020 and 122311, that added together give a palindrome (133331).

The spelling of 11020122311 in words is "eleven billion, twenty million, one hundred twenty-two thousand, three hundred eleven".

Divisors: 1 11 41 89 121 451 979 1331 2269 3649 4961 10769 24959 40139 54571 93029 118459 201941 274549 441529 1023319 2221351 3020039 4856819 8279581 11256509 24434861 91075391 123821599 268783471 1001829301 11020122311