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21042420021 = 32717231575441
BaseRepresentation
bin10011100110001110…
…011101100100110101
32000022111000200200200
4103212032131210311
5321043324420041
613400004031113
71343310422220
oct234616354465
960274020620
1021042420021
118a18996677
1240b3092499
131ca464800c
1410389165b7
1583252b1b6
hex4e639d935

21042420021 has 96 divisors (see below), whose sum is σ = 38630711808. Its totient is φ = 10753966080.

The previous prime is 21042419989. The next prime is 21042420031. The reversal of 21042420021 is 12002424012.

21042420021 is a `hidden beast` number, since 21 + 0 + 424 + 200 + 21 = 666.

It is not a de Polignac number, because 21042420021 - 25 = 21042419989 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 21042419976 and 21042420003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21042420031) 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 95 ways as a sum of consecutive naturals, for example, 3864661 + ... + 3870101.

It is an arithmetic number, because the mean of its divisors is an integer number (402403248).

Almost surely, 221042420021 is an apocalyptic number.

21042420021 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

21042420021 is a deficient number, since it is larger than the sum of its proper divisors (17588291787).

21042420021 is a wasteful number, since it uses less digits than its factorization.

21042420021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5651 (or 5648 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 21042420021 its reverse (12002424012), we get a palindrome (33044844033).

The spelling of 21042420021 in words is "twenty-one billion, forty-two million, four hundred twenty thousand, twenty-one".

Divisors: 1 3 7 9 17 21 23 51 63 69 119 153 157 161 207 357 391 471 483 1071 1099 1173 1413 1449 2669 2737 3297 3519 3611 5441 8007 8211 9891 10833 16323 18683 24021 24633 25277 32499 38087 48969 56049 61387 75831 92497 114261 125143 168147 184161 227493 277491 342783 375429 429709 552483 647479 832473 854237 876001 1126287 1289127 1942437 2127431 2562711 2628003 3867381 5827311 5979659 6382293 7688133 7884009 14522029 14892017 17938977 19146879 19647451 43566087 44676051 53816931 58942353 101654203 130698261 134028153 137532157 176827059 304962609 334006667 412596471 914887827 1002020001 1237789413 2338046669 3006060003 7014140007 21042420021