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21431121104 = 2429181255181
BaseRepresentation
bin10011111101011001…
…001111010011010000
32001022120102202100002
4103331121033103100
5322342331333404
613502331145132
71356040344431
oct237531172320
961276382302
1021431121104
1190a8344538
1241a12a51a8
132037031763
1410743b9488
1585670bc1e
hex4fd64f4d0

21431121104 has 40 divisors (see below), whose sum is σ = 43192105320. Its totient is φ = 10288857600.

The previous prime is 21431121083. The next prime is 21431121109. The reversal of 21431121104 is 40112113412.

It can be written as a sum of positive squares in 4 ways, for example, as 80066704 + 21351054400 = 8948^2 + 146120^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21431121109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 43607 + ... + 211574.

It is an arithmetic number, because the mean of its divisors is an integer number (1079802633).

Almost surely, 221431121104 is an apocalyptic number.

It is an amenable number.

21431121104 is an abundant number, since it is smaller than the sum of its proper divisors (21760984216).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

21431121104 is a wasteful number, since it uses less digits than its factorization.

21431121104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255399 (or 255393 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

Adding to 21431121104 its reverse (40112113412), we get a palindrome (61543234516).

The spelling of 21431121104 in words is "twenty-one billion, four hundred thirty-one million, one hundred twenty-one thousand, one hundred four".

Divisors: 1 2 4 8 16 29 58 116 181 232 362 464 724 1448 2896 5249 10498 20996 41992 83984 255181 510362 1020724 2041448 4082896 7400249 14800498 29600996 46187761 59201992 92375522 118403984 184751044 369502088 739004176 1339445069 2678890138 5357780276 10715560552 21431121104