Search a number
-
+
21256995123 = 32721319210271
BaseRepresentation
bin10011110011000001…
…000000000100110011
32000212102210020101200
4103303001000010303
5322013242320443
613433151102243
71351524322500
oct236301000463
960772706350
1021256995123
119019024071
124152b11983
132009c36430
1410592104a7
158462b3dd3
hex4f3040133

21256995123 has 108 divisors (see below), whose sum is σ = 40600018368. Its totient is φ = 10621316160.

The previous prime is 21256995107. The next prime is 21256995167. The reversal of 21256995123 is 32159965212.

21256995123 is a `hidden beast` number, since 2 + 12 + 569 + 9 + 51 + 23 = 666.

It is not a de Polignac number, because 21256995123 - 24 = 21256995107 is a prime.

It is not an unprimeable number, because it can be changed into a prime (21256995173) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 2064478 + ... + 2074748.

It is an arithmetic number, because the mean of its divisors is an integer number (375926096).

Almost surely, 221256995123 is an apocalyptic number.

21256995123 is a deficient number, since it is larger than the sum of its proper divisors (19343023245).

21256995123 is a wasteful number, since it uses less digits than its factorization.

21256995123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10342 (or 10313 counting only the distinct ones).

The product of its digits is 291600, while the sum is 45.

The spelling of 21256995123 in words is "twenty-one billion, two hundred fifty-six million, nine hundred ninety-five thousand, one hundred twenty-three".

Divisors: 1 3 7 9 13 19 21 39 49 57 63 91 117 133 147 171 247 273 361 399 441 637 741 819 931 1083 1197 1729 1911 2223 2527 2793 3249 4693 5187 5733 7581 8379 10271 12103 14079 15561 17689 22743 30813 32851 36309 42237 53067 71897 92439 98553 108927 133523 159201 195149 215691 229957 295659 400569 503279 585447 647073 689871 934661 1201707 1366043 1509837 1756341 2069613 2536937 2803983 3707831 4098129 4529511 6542627 7610811 8411949 9562301 11123493 12294387 17758559 19627881 22832433 25954817 28686903 33370479 48201803 53275677 58883643 77864451 86060709 124309913 144605409 159827031 181683719 233593353 337412621 372929739 433816227 545051157 1012237863 1118789217 1635153471 2361888347 3036713589 7085665041 21256995123