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11100002121 = 321394871813
BaseRepresentation
bin10100101011001110…
…01001011101001001
31001122120121112100200
422111213021131021
5140213100031441
65033235322413
7542032314135
oct122547113511
931576545320
1011100002121
11478673097a
122199450409
13107b86c0c0
147742a23c5
1544e7447b6
hex2959c9749

11100002121 has 12 divisors (see below), whose sum is σ = 17266670148. Its totient is φ = 6830770464.

The previous prime is 11100002113. The next prime is 11100002129. The reversal of 11100002121 is 12120000111.

It is a happy number.

11100002121 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (11100002113) and next prime (11100002129).

It can be written as a sum of positive squares in 2 ways, for example, as 3180960000 + 7919042121 = 56400^2 + 88989^2 .

It is not a de Polignac number, because 11100002121 - 23 = 11100002113 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (11100002129) 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 11 ways as a sum of consecutive naturals, for example, 47435790 + ... + 47436023.

It is an arithmetic number, because the mean of its divisors is an integer number (1438889179).

Almost surely, 211100002121 is an apocalyptic number.

It is an amenable number.

11100002121 is a deficient number, since it is larger than the sum of its proper divisors (6166668027).

11100002121 is a wasteful number, since it uses less digits than its factorization.

11100002121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94871832 (or 94871829 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 11100002121 its reverse (12120000111), we get a palindrome (23220002232).

The spelling of 11100002121 in words is "eleven billion, one hundred million, two thousand, one hundred twenty-one".

Divisors: 1 3 9 13 39 117 94871813 284615439 853846317 1233333569 3700000707 11100002121