Search a number
-
+
200212122020004 = 2232193471361619793
BaseRepresentation
bin101101100001011110000100…
…011010011010100010100100
3222020220002111000122011101200
4231201132010122122202210
5202220233411214120004
61545452102404322500
760112564011611643
oct5541360432324244
9866802430564350
10200212122020004
11588805363a75a6
121a55654a6a3430
138793bcaac6053
143762465a0735a
151822e9b838239
hexb6178469a8a4

200212122020004 has 144 divisors (see below), whose sum is σ = 534656815318080. Its totient is φ = 62996253880320.

The previous prime is 200212122019997. The next prime is 200212122020011. The reversal of 200212122020004 is 400020221212002.

200212122020004 is a `hidden beast` number, since 200 + 21 + 21 + 220 + 200 + 0 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (200212122019997) and next prime (200212122020011).

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

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, 322720732 + ... + 323340524.

It is an arithmetic number, because the mean of its divisors is an integer number (3712894550820).

Almost surely, 2200212122020004 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 200212122020004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267328407659040).

200212122020004 is an abundant number, since it is smaller than the sum of its proper divisors (334444693298076).

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

200212122020004 is a wasteful number, since it uses less digits than its factorization.

200212122020004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 621530 (or 621525 counting only the distinct ones).

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

Adding to 200212122020004 its reverse (400020221212002), we get a palindrome (600232343232006).

The spelling of 200212122020004 in words is "two hundred trillion, two hundred twelve billion, one hundred twenty-two million, twenty thousand, four".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 114 171 228 342 347 684 694 1041 1361 1388 2082 2722 3123 4083 4164 5444 6246 6593 8166 12249 12492 13186 16332 19779 24498 25859 26372 39558 48996 51718 59337 77577 79116 103436 118674 155154 232731 237348 310308 465462 472267 619793 930924 944534 1239586 1416801 1859379 1889068 2479172 2833602 3718758 4250403 5578137 5667204 7437516 8500806 8973073 11156274 11776067 17001612 17946146 22312548 23552134 26919219 35328201 35892292 47104268 53838438 70656402 80757657 105984603 107676876 141312804 161515314 211969206 215068171 323030628 423938412 430136342 645204513 843538273 860272684 1290409026 1687076546 1935613539 2530614819 2580818052 3374153092 3871227078 4086295249 5061229638 7591844457 7742454156 8172590498 10122459276 12258885747 15183688914 16027227187 16345180996 24517771494 30367377828 32054454374 36776657241 48081681561 49035542988 64108908748 73553314482 96163363122 144245044683 147106628964 192326726244 288490089366 292707780731 576980178732 585415561462 878123342193 1170831122924 1756246684386 2634370026579 3512493368772 5268740053158 5561447833889 10537480106316 11122895667778 16684343501667 22245791335556 33368687003334 50053030505001 66737374006668 100106061010002 200212122020004