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10054121121 = 3211557318223
BaseRepresentation
bin10010101110100010…
…11011011010100001
3221221200121021100100
421113101123122201
5131042323333441
64341354413013
7504102422322
oct112721333241
927850537310
1010054121121
11429a320010
121b47131169
13c42c895c5
146b5410449
153dc9edcb6
hex25745b6a1

10054121121 has 24 divisors (see below), whose sum is σ = 15846569856. Its totient is φ = 6091979040.

The previous prime is 10054121107. The next prime is 10054121131. The reversal of 10054121121 is 12112145001.

10054121121 is a `hidden beast` number, since 1 + 0 + 0 + 541 + 2 + 1 + 121 = 666.

10054121121 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10054121121 - 26 = 10054121057 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10054121094 and 10054121103.

It is not an unprimeable number, because it can be changed into a prime (10054121131) 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 23 ways as a sum of consecutive naturals, for example, 542616 + ... + 560838.

It is an arithmetic number, because the mean of its divisors is an integer number (660273744).

Almost surely, 210054121121 is an apocalyptic number.

10054121121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10054121121 is a deficient number, since it is larger than the sum of its proper divisors (5792448735).

10054121121 is a wasteful number, since it uses less digits than its factorization.

10054121121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23813 (or 23810 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 18.

Adding to 10054121121 its reverse (12112145001), we get a palindrome (22166266122).

The spelling of 10054121121 in words is "ten billion, fifty-four million, one hundred twenty-one thousand, one hundred twenty-one".

Divisors: 1 3 9 11 33 99 5573 16719 18223 50157 54669 61303 164007 183909 200453 551727 601359 1804077 101556779 304670337 914011011 1117124569 3351373707 10054121121