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4021020201204 = 22324131343320101
BaseRepresentation
bin111010100000110111011…
…110110001000011110100
3112020101221210220120010200
4322200313132301003310
51011340022132414304
612315121533520500
7563336425525416
oct72406736610364
915211853816120
104021020201204
11131033a091986
1254b373643130
13232246964406
14dc892d109b6
156e8e1597e39
hex3a8377b10f4

4021020201204 has 144 divisors (see below), whose sum is σ = 10470063820944. Its totient is φ = 1300396032000.

The previous prime is 4021020201193. The next prime is 4021020201227.

4021020201204 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 8 ways, for example, as 2623428090000 + 1397592111204 = 1619700^2 + 1182198^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 200030754 + ... + 200050854.

Almost surely, 24021020201204 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 4021020201204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5235031910472).

4021020201204 is an abundant number, since it is smaller than the sum of its proper divisors (6449043619740).

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

4021020201204 is a wasteful number, since it uses less digits than its factorization.

4021020201204 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20898 (or 20893 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, 4021020 and 201204, that added together give a palindrome (4222224).

The spelling of 4021020201204 in words is "four trillion, twenty-one billion, twenty million, two hundred one thousand, two hundred four".

Divisors: 1 2 3 4 6 9 12 18 36 41 82 123 164 246 313 369 433 492 626 738 866 939 1252 1299 1476 1732 1878 2598 2817 3756 3897 5196 5634 7794 11268 12833 15588 17753 20101 25666 35506 38499 40202 51332 53259 60303 71012 76998 80404 106518 115497 120606 135529 153996 159777 180909 213036 230994 241212 271058 319554 361818 406587 461988 542116 639108 723636 813174 824141 1219761 1626348 1648282 2439522 2472423 3296564 4879044 4944846 5556689 6291613 7417269 8703733 9889692 11113378 12583226 14834538 16670067 17407466 18874839 22226756 25166452 26111199 29669076 33340134 34814932 37749678 50010201 52222398 56624517 66680268 75499356 78333597 100020402 104444796 113249034 156667194 200040804 226498068 257956133 313334388 356853053 515912266 713706106 773868399 1031824532 1070559159 1427412212 1547736798 2141118318 2321605197 2724268429 3095473596 3211677477 4282236636 4643210394 5448536858 6423354954 8172805287 9286420788 10897073716 12846709908 16345610574 24518415861 32691221148 49036831722 98073663444 111695005589 223390011178 335085016767 446780022356 670170033534 1005255050301 1340340067068 2010510100602 4021020201204