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21034443012 = 223112191017549
BaseRepresentation
bin10011100101110000…
…000010000100000100
32000021221000102021220
4103211300002010010
5321034304134022
613355121040340
71343152546512
oct234560020404
960257012256
1021034443012
118a14438400
1240b04860b0
131ca2ab41ab
14103783b4b2
158319a285c
hex4e5c02104

21034443012 has 144 divisors (see below), whose sum is σ = 57357048000. Its totient is φ = 5978016000.

The previous prime is 21034442987. The next prime is 21034443013.

21034443012 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (21034443013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2782614 + ... + 2790162.

Almost surely, 221034443012 is an apocalyptic number.

21034443012 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21034443012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28678524000).

21034443012 is an abundant number, since it is smaller than the sum of its proper divisors (36322604988).

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

21034443012 is a wasteful number, since it uses less digits than its factorization.

21034443012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7698 (or 7685 counting only the distinct ones).

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

The spelling of 21034443012 in words is "twenty-one billion, thirty-four million, four hundred forty-three thousand, twelve".

Divisors: 1 2 3 4 6 11 12 19 22 33 38 44 57 66 76 101 114 121 132 202 209 228 242 303 363 404 418 484 606 627 726 836 1111 1212 1254 1452 1919 2222 2299 2508 3333 3838 4444 4598 5757 6666 6897 7549 7676 9196 11514 12221 13332 13794 15098 21109 22647 23028 24442 27588 30196 36663 42218 45294 48884 63327 73326 83039 84436 90588 126654 143431 146652 166078 232199 249117 253308 286862 332156 430293 464398 498234 573724 696597 762449 860586 913429 928796 996468 1393194 1524898 1577741 1721172 1826858 2287347 2740287 2786388 3049796 3155482 3653716 4574694 4733223 5480574 6310964 8386939 9149388 9466446 10961148 14486531 16773878 17355151 18932892 25160817 28973062 33547756 34710302 43459593 50321634 52065453 57946124 69420604 86919186 92256329 100643268 104130906 159351841 173838372 184512658 208261812 276768987 318703682 369025316 478055523 553537974 637407364 956111046 1107075948 1752870251 1912222092 3505740502 5258610753 7011481004 10517221506 21034443012