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21042024012 = 223219115326681
BaseRepresentation
bin10011100110001100…
…111100111001001100
32000022110021120110200
4103212030330321030
5321043224232022
613355551333500
71343304152532
oct234614747114
960273246420
1021042024012
118a18746099
1240b2b21290
131ca45399a9
141038852152
1583249dbac
hex4e633ce4c

21042024012 has 72 divisors (see below), whose sum is σ = 56039670960. Its totient is φ = 6638837760.

The previous prime is 21042024011. The next prime is 21042024037.

21042024012 is a `hidden beast` number, since 2 + 1 + 0 + 420 + 240 + 1 + 2 = 666.

21042024012 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×210420240122 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (21042024011) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 775312 + ... + 801992.

Almost surely, 221042024012 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21042024012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28019835480).

21042024012 is an abundant number, since it is smaller than the sum of its proper divisors (34997646948).

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

21042024012 is a wasteful number, since it uses less digits than its factorization.

21042024012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27863 (or 27858 counting only the distinct ones).

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

It can be divided in two parts, 210420 and 24012, that added together give a palindrome (234432).

The spelling of 21042024012 in words is "twenty-one billion, forty-two million, twenty-four thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 114 171 228 342 684 1153 2306 3459 4612 6918 10377 13836 20754 21907 26681 41508 43814 53362 65721 80043 87628 106724 131442 160086 197163 240129 262884 320172 394326 480258 506939 788652 960516 1013878 1520817 2027756 3041634 4562451 6083268 9124902 18249804 30763193 61526386 92289579 123052772 184579158 276868737 369158316 553737474 584500667 1107474948 1169001334 1753502001 2338002668 3507004002 5260506003 7014008004 10521012006 21042024012