Search a number
-
+
11011211221221 = 338811321350423
BaseRepresentation
bin1010000000111011111101…
…0101010101100011100101
31102222122212020112201121000
42200032333111111203211
52420401430033034341
635230251450543513
72214351036040431
oct240167725254345
942878766481530
1011011211221221
1135659127443a2
12129a068437b99
1361b478034373
142a0d345099c1
15141660a6c8b6
hexa03bf5558e5

11011211221221 has 32 divisors (see below), whose sum is σ = 16343831427840. Its totient is φ = 7326903513600.

The previous prime is 11011211221183. The next prime is 11011211221229. The reversal of 11011211221221 is 12212211211011.

It is a happy number.

11011211221221 is a `hidden beast` number, since 1 + 1 + 0 + 11 + 211 + 221 + 221 = 666.

It is not a de Polignac number, because 11011211221221 - 27 = 11011211221093 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 11011211221194 and 11011211221203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11011211221229) 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 31 ways as a sum of consecutive naturals, for example, 31247416 + ... + 31597838.

It is an arithmetic number, because the mean of its divisors is an integer number (510744732120).

Almost surely, 211011211221221 is an apocalyptic number.

It is an amenable number.

11011211221221 is a deficient number, since it is larger than the sum of its proper divisors (5332620206619).

11011211221221 is a wasteful number, since it uses less digits than its factorization.

11011211221221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 352634 (or 352628 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 11011211221221 its reverse (12212211211011), we get a palindrome (23223422432232).

The spelling of 11011211221221 in words is "eleven trillion, eleven billion, two hundred eleven million, two hundred twenty-one thousand, two hundred twenty-one".

Divisors: 1 3 9 27 881 1321 2643 3963 7929 11889 23787 35667 350423 1051269 1163801 3153807 3491403 9461421 10474209 31422627 308722663 462908783 926167989 1388726349 2778503967 4166179047 8335511901 12498537141 407822637823 1223467913469 3670403740407 11011211221221