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200323003013320 = 235112918798355133
BaseRepresentation
bin101101100011000101010101…
…011011110101100011001000
3222021021200200111210020101211
4231203011111123311203020
5202224043002232411240
61550015041145022504
760123600521530015
oct5543052533654310
9867250614706354
10200323003013320
1158913565877a60
121a573b34484a34
1387a14bb993375
143767983bda70c
151825cdae55bea
hexb631556f58c8

200323003013320 has 128 divisors (see below), whose sum is σ = 508927922208000. Its totient is φ = 70295401774080.

The previous prime is 200323003013317. The next prime is 200323003013351. The reversal of 200323003013320 is 23310300323002.

200323003013320 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2003230030133202 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 200323003013291 and 200323003013300.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19798474 + ... + 28153606.

It is an arithmetic number, because the mean of its divisors is an integer number (3975999392250).

Almost surely, 2200323003013320 is an apocalyptic number.

200323003013320 is a gapful number since it is divisible by the number (20) 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 200323003013320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254463961104000).

200323003013320 is an abundant number, since it is smaller than the sum of its proper divisors (308604919194680).

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

200323003013320 is a wasteful number, since it uses less digits than its factorization.

200323003013320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8357063 (or 8357059 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 22.

Adding to 200323003013320 its reverse (23310300323002), we get a palindrome (223633303336322).

The spelling of 200323003013320 in words is "two hundred trillion, three hundred twenty-three billion, three million, thirteen thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 29 40 44 55 58 88 110 116 145 220 232 290 319 440 580 638 1160 1276 1595 1879 2552 3190 3758 6380 7516 9395 12760 15032 18790 20669 37580 41338 54491 75160 82676 103345 108982 165352 206690 217964 272455 413380 435928 544910 599401 826760 1089820 1198802 2179640 2397604 2997005 4795208 5994010 8355133 11988020 16710266 23976040 33420532 41775665 66841064 83551330 91906463 167102660 183812926 242298857 334205320 367625852 459532315 484597714 735251704 919064630 969195428 1211494285 1838129260 1938390856 2422988570 2665287427 3676258520 4845977140 5330574854 9691954280 10661149708 13326437135 15699294907 21322299416 26652874270 31398589814 53305748540 62797179628 78496474535 106611497080 125594359256 156992949070 172692243977 313985898140 345384487954 455279552303 627971796280 690768975908 863461219885 910559104606 1381537951816 1726922439770 1821118209212 2276397761515 3453844879540 3642236418424 4552795523030 5008075075333 6907689759080 9105591046060 10016150150666 18211182092120 20032300301332 25040375376665 40064600602664 50080750753330 100161501506660 200323003013320