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121121333333 = 71113121000333
BaseRepresentation
bin111000011001101100…
…1001110000001010101
3102120122011011020122122
41300303121032001111
53441024030131313
6131350430305325
711515333226540
oct1606331160125
9376564136578
10121121333333
1147404920490
121b583358245
13b5635c7310
145c10239857
15323d652708
hex1c3364e055

121121333333 has 16 divisors (see below), whose sum is σ = 162624448896. Its totient is φ = 87120239040.

The previous prime is 121121333303. The next prime is 121121333339. The reversal of 121121333333 is 333333121121.

It is a cyclic number.

It is not a de Polignac number, because 121121333333 - 212 = 121121329237 is a prime.

It is a Smith number, since the sum of its digits (26) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

121121333333 is a modest number, since divided by 333333 gives 121121 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121121333339) 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 15 ways as a sum of consecutive naturals, for example, 60499166 + ... + 60501167.

It is an arithmetic number, because the mean of its divisors is an integer number (10164028056).

Almost surely, 2121121333333 is an apocalyptic number.

121121333333 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

121121333333 is a deficient number, since it is larger than the sum of its proper divisors (41503115563).

121121333333 is a wasteful number, since it uses less digits than its factorization.

121121333333 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121000364.

The product of its digits is 2916, while the sum is 26.

Adding to 121121333333 its reverse (333333121121), we get a palindrome (454454454454).

It can be divided in two parts, 121121 and 333333, that added together give a palindrome (454454).

The spelling of 121121333333 in words is "one hundred twenty-one billion, one hundred twenty-one million, three hundred thirty-three thousand, three hundred thirty-three".

Divisors: 1 7 11 13 77 91 143 1001 121000333 847002331 1331003663 1573004329 9317025641 11011030303 17303047619 121121333333