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321203112010020 = 2232537280317206099
BaseRepresentation
bin100100100001000011110110…
…1011001000110000100100100
31120010021201101010220200200200
41021002013231121012010210
5314100042433133310040
63055050401140110500
7124441105356043362
oct11102075531060444
91503251333820620
10321203112010020
1193388524a88859
1230037394395430
1310a2c428944ca6
145946456620632
15272036b6ec630
hex12421ed646124

321203112010020 has 144 divisors (see below), whose sum is σ = 1001006024491200. Its totient is φ = 83309448837888.

The previous prime is 321203112010013. The next prime is 321203112010021. The reversal of 321203112010020 is 20010211302123.

321203112010020 is a `hidden beast` number, since 3 + 212 + 0 + 311 + 20 + 100 + 20 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 321203112009975 and 321203112010002.

It is not an unprimeable number, because it can be changed into a prime (321203112010021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10064931 + ... + 27271029.

Almost surely, 2321203112010020 is an apocalyptic number.

321203112010020 is a gapful number since it is divisible by the number (30) 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 321203112010020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (500503012245600).

321203112010020 is an abundant number, since it is smaller than the sum of its proper divisors (679802912481180).

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

321203112010020 is a wasteful number, since it uses less digits than its factorization.

321203112010020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17208954 (or 17208949 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 321203112010020 its reverse (20010211302123), we get a palindrome (341213323312143).

The spelling of 321203112010020 in words is "three hundred twenty-one trillion, two hundred three billion, one hundred twelve million, ten thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 37 45 60 74 90 111 148 180 185 222 333 370 444 555 666 740 1110 1332 1665 2220 2803 3330 5606 6660 8409 11212 14015 16818 25227 28030 33636 42045 50454 56060 84090 100908 103711 126135 168180 207422 252270 311133 414844 504540 518555 622266 933399 1037110 1244532 1555665 1866798 2074220 3111330 3733596 4666995 6222660 9333990 17206099 18667980 34412198 51618297 68824396 86030495 103236594 154854891 172060990 206473188 258091485 309709782 344121980 516182970 619419564 636625663 774274455 1032365940 1273251326 1548548910 1909876989 2546502652 3097097820 3183128315 3819753978 5729630967 6366256630 7639507956 9549384945 11459261934 12732513260 19098769890 22918523868 28648154835 38197539780 48228695497 57296309670 96457390994 114592619340 144686086491 192914781988 241143477485 289372172982 434058259473 482286954970 578744345964 723430432455 868116518946 964573909940 1446860864910 1736233037892 1784461733389 2170291297365 2893721729820 3568923466778 4340582594730 5353385200167 7137846933556 8681165189460 8922308666945 10706770400334 16060155600501 17844617333890 21413540800668 26766926000835 32120311201002 35689234667780 53533852001670 64240622402004 80300778002505 107067704003340 160601556005010 321203112010020