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2010422422404 = 22321167271279607
BaseRepresentation
bin11101010000010110100…
…000111010101110000100
321010012020210110202200200
4131100112200322232010
5230414321120004104
64135324133410500
7265151066430144
oct35202640725604
97105223422620
102010422422404
11705685056020
12285772499a30
13117774914016
146d43ab72924
1537467eccb39
hex1d41683ab84

2010422422404 has 144 divisors (see below), whose sum is σ = 5647419488256. Its totient is φ = 597909470400.

The previous prime is 2010422422387. The next prime is 2010422422511. The reversal of 2010422422404 is 4042242240102.

2010422422404 is a `hidden beast` number, since 2 + 0 + 10 + 4 + 2 + 242 + 2 + 404 = 666.

It is a super-2 number, since 2×20104224224042 (a number of 25 digits) contains 22 as substring.

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, 7050369 + ... + 7329975.

Almost surely, 22010422422404 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 2010422422404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2823709744128).

2010422422404 is an abundant number, since it is smaller than the sum of its proper divisors (3636997065852).

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

2010422422404 is a wasteful number, since it uses less digits than its factorization.

2010422422404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 279966 (or 279961 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 27.

Adding to 2010422422404 its reverse (4042242240102), we get a palindrome (6052664662506).

The spelling of 2010422422404 in words is "two trillion, ten billion, four hundred twenty-two million, four hundred twenty-two thousand, four hundred four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 67 99 132 134 198 201 268 271 396 402 542 603 737 804 813 1084 1206 1474 1626 2211 2412 2439 2948 2981 3252 4422 4878 5962 6633 8844 8943 9756 11924 13266 17886 18157 26532 26829 35772 36314 53658 54471 72628 107316 108942 163413 199727 217884 279607 326826 399454 559214 599181 653652 798908 838821 1118428 1198362 1677642 1797543 2396724 2516463 3075677 3355284 3595086 5032926 6151354 7190172 9227031 10065852 12302708 18454062 18733669 27681093 36908124 37467338 55362186 56201007 74934676 75773497 110724372 112402014 151546994 168603021 206070359 224804028 227320491 303093988 337206042 412140718 454640982 618211077 674412084 681961473 824281436 833508467 909281964 1236422154 1363922946 1667016934 1854633231 2472844308 2500525401 2727845892 3334033868 3709266462 5001050802 5076824299 7418532924 7501576203 10002101604 10153648598 15003152406 15230472897 20307297196 30006304812 30460945794 45691418691 55845067289 60921891588 91382837382 111690134578 167535201867 182765674764 223380269156 335070403734 502605605601 670140807468 1005211211202 2010422422404