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121121331111 = 321117711013627
BaseRepresentation
bin111000011001101100…
…1001101011110100111
3102120122011011010121100
41300303121031132213
53441024030043421
6131350430251143
711515333220214
oct1606331153647
9376564133540
10121121331111
1147404919850
121b583356ab3
13b5635c62c1
145c10238b0b
15323d651c26
hex1c3364d7a7

121121331111 has 48 divisors (see below), whose sum is σ = 204931254528. Its totient is φ = 68115667200.

The previous prime is 121121331091. The next prime is 121121331143. The reversal of 121121331111 is 111133121121.

It is not a de Polignac number, because 121121331111 - 27 = 121121330983 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121121331181) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 387321 + ... + 626306.

It is an arithmetic number, because the mean of its divisors is an integer number (4269401136).

Almost surely, 2121121331111 is an apocalyptic number.

121121331111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

121121331111 is a deficient number, since it is larger than the sum of its proper divisors (83809923417).

121121331111 is a wasteful number, since it uses less digits than its factorization.

121121331111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1013732 (or 1013729 counting only the distinct ones).

The product of its digits is 36, while the sum is 18.

Adding to 121121331111 its reverse (111133121121), we get a palindrome (232254452232).

The spelling of 121121331111 in words is "one hundred twenty-one billion, one hundred twenty-one million, three hundred thirty-one thousand, one hundred eleven".

Divisors: 1 3 9 11 17 33 51 71 99 153 187 213 561 639 781 1207 1683 2343 3621 7029 10863 13277 39831 119493 1013627 3040881 9122643 11149897 17231659 33449691 51694977 71967517 100349073 155084931 189548249 215902551 568644747 647707653 791642687 1223447789 1705934241 2374928061 3670343367 7124784183 11011030101 13457925679 40373777037 121121331111