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21042242235 = 335731726731
BaseRepresentation
bin10011100110001101…
…110010001010111011
32000022110200122211000
4103212031302022323
5321043303222420
613400000140043
71343306052000
oct234615621273
960273618730
1021042242235
118a18885043
1240b3007623
131ca45b5111
1410388ab8a7
158324e3690
hex4e63722bb

21042242235 has 128 divisors (see below), whose sum is σ = 46192896000. Its totient is φ = 9053130240.

The previous prime is 21042242219. The next prime is 21042242311. The reversal of 21042242235 is 53224224012.

21042242235 is a `hidden beast` number, since 2 + 1 + 0 + 422 + 4 + 2 + 235 = 666.

It is not a de Polignac number, because 21042242235 - 24 = 21042242219 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 21042242199 and 21042242208.

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 773820 + ... + 800550.

It is an arithmetic number, because the mean of its divisors is an integer number (360882000).

Almost surely, 221042242235 is an apocalyptic number.

21042242235 is an abundant number, since it is smaller than the sum of its proper divisors (25150653765).

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

21042242235 is a wasteful number, since it uses less digits than its factorization.

21042242235 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26783 (or 26763 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

Adding to 21042242235 its reverse (53224224012), we get a palindrome (74266466247).

The spelling of 21042242235 in words is "twenty-one billion, forty-two million, two hundred forty-two thousand, two hundred thirty-five".

Divisors: 1 3 5 7 9 15 17 21 27 35 45 49 51 63 85 105 119 135 147 153 189 245 255 315 343 357 441 459 595 735 765 833 945 1029 1071 1323 1715 1785 2205 2295 2499 3087 3213 4165 5145 5355 5831 6615 7497 9261 12495 15435 16065 17493 22491 26731 29155 37485 46305 52479 80193 87465 112455 133655 157437 187117 240579 262395 400965 454427 561351 721737 787185 935585 1202895 1309819 1363281 1684053 2272135 2806755 3180989 3608685 3929457 4089843 5052159 6549095 6816405 8420265 9168733 9542967 11788371 12269529 15904945 19647285 20449215 22266923 25260795 27506199 28628901 35365113 45843665 47714835 58941855 61347645 66800769 82518597 85886703 111334615 137530995 143144505 155868461 176825565 200402307 247555791 334003845 412592985 429433515 467605383 601206921 779342305 1002011535 1237778955 1402816149 2338026915 3006034605 4208448447 7014080745 21042242235