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21042242133 = 3111737619973
BaseRepresentation
bin10011100110001101…
…110010001001010101
32000022110200122200020
4103212031302021111
5321043303222013
613400000135353
71343306051463
oct234615621125
960273618606
1021042242133
118a18884a60
1240b3007559
131ca45b5063
1410388ab833
158324e3623
hex4e6372255

21042242133 has 32 divisors (see below), whose sum is σ = 32419170432. Its totient is φ = 11998310400.

The previous prime is 21042242071. The next prime is 21042242141. The reversal of 21042242133 is 33124224012.

It is a happy number.

It is not a de Polignac number, because 21042242133 - 221 = 21040144981 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21042240133) 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 31 ways as a sum of consecutive naturals, for example, 2104935 + ... + 2114907.

It is an arithmetic number, because the mean of its divisors is an integer number (1013099076).

Almost surely, 221042242133 is an apocalyptic number.

It is an amenable number.

21042242133 is a deficient number, since it is larger than the sum of its proper divisors (11376928299).

21042242133 is a wasteful number, since it uses less digits than its factorization.

21042242133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13765.

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 21042242133 its reverse (33124224012), we get a palindrome (54166466145).

It can be divided in two parts, 21042 and 242133, that added together give a triangular number (263175 = T725).

The spelling of 21042242133 in words is "twenty-one billion, forty-two million, two hundred forty-two thousand, one hundred thirty-three".

Divisors: 1 3 11 17 33 51 187 561 3761 9973 11283 29919 41371 63937 109703 124113 169541 191811 329109 508623 703307 1864951 2109921 5594853 37508453 112525359 412592983 637643701 1237778949 1912931103 7014080711 21042242133