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11122420332413 = 134146145265901
BaseRepresentation
bin1010000111011010001111…
…1010011011011101111101
31110101021220121002220201002
42201312203322123131331
52424212204101114123
635353322552100045
72225365641634415
oct241664372333575
943337817086632
1011122420332413
1135a8aa0353655
1212b7724094625
13628abbb95880
142a6484111645
151444bdda0528
hexa1da3e9b77d

11122420332413 has 16 divisors (see below), whose sum is σ = 12296753873712. Its totient is φ = 9994710720000.

The previous prime is 11122420332379. The next prime is 11122420332451. The reversal of 11122420332413 is 31423302422111.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 3905986991449 + 7216433340964 = 1976357^2 + 2686342^2 .

It is a cyclic number.

It is not a de Polignac number, because 11122420332413 - 212 = 11122420328317 is a prime.

It is a super-3 number, since 3×111224203324133 (a number of 40 digits) contains 333 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11122420332013) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22387238 + ... + 22878663.

It is an arithmetic number, because the mean of its divisors is an integer number (768547117107).

Almost surely, 211122420332413 is an apocalyptic number.

11122420332413 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

11122420332413 is a deficient number, since it is larger than the sum of its proper divisors (1174333541299).

11122420332413 is a wasteful number, since it uses less digits than its factorization.

11122420332413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45266416.

The product of its (nonzero) digits is 6912, while the sum is 29.

Adding to 11122420332413 its reverse (31423302422111), we get a palindrome (42545722754524).

The spelling of 11122420332413 in words is "eleven trillion, one hundred twenty-two billion, four hundred twenty million, three hundred thirty-two thousand, four hundred thirteen".

Divisors: 1 13 41 461 533 5993 18901 245713 45265901 588456713 1855901941 20867580361 24126725233 271278544693 855570794801 11122420332413