Search a number
-
+
200430122103200 = 25521129785384491
BaseRepresentation
bin101101100100101001000110…
…001110101111000110100000
3222021122221011211020211001002
4231210221012032233012200
5202232321342224300300
61550140154342531132
760134412162005423
oct5544510616570640
9867587154224032
10200430122103200
1158954a347a7710
121a59084a436aa8
1387ab630374612
14376cc265379ba
1518289aa1805d5
hexb64a463af1a0

200430122103200 has 144 divisors (see below), whose sum is σ = 552188128635360. Its totient is φ = 70370450304000.

The previous prime is 200430122103161. The next prime is 200430122103221. The reversal of 200430122103200 is 2301221034002.

It is a super-2 number, since 2×2004301221032002 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 392437046 + ... + 392947445.

It is an arithmetic number, because the mean of its divisors is an integer number (3834639782190).

Almost surely, 2200430122103200 is an apocalyptic number.

200430122103200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

200430122103200 is an abundant number, since it is smaller than the sum of its proper divisors (351758006532160).

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

200430122103200 is a wasteful number, since it uses less digits than its factorization.

200430122103200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 785384551 (or 785384538 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 200430122103200 its reverse (2301221034002), we get a palindrome (202731343137202).

The spelling of 200430122103200 in words is "two hundred trillion, four hundred thirty billion, one hundred twenty-two million, one hundred three thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 29 32 40 44 50 55 58 80 88 100 110 116 145 160 176 200 220 232 275 290 319 352 400 440 464 550 580 638 725 800 880 928 1100 1160 1276 1450 1595 1760 2200 2320 2552 2900 3190 4400 4640 5104 5800 6380 7975 8800 10208 11600 12760 15950 23200 25520 31900 51040 63800 127600 255200 785384491 1570768982 3141537964 3926922455 6283075928 7853844910 8639229401 12566151856 15707689820 17278458802 19634612275 22776150239 25132303712 31415379640 34556917604 39269224550 43196147005 45552300478 62830759280 69113835208 78538449100 86392294010 91104600956 113880751195 125661518560 138227670416 157076898200 172784588020 182209201912 215980735025 227761502390 250537652629 276455340832 314153796400 345569176040 364418403824 431961470050 455523004780 501075305258 569403755975 628307592800 691138352080 728836807648 863922940100 911046009560 1002150610516 1138807511950 1252688263145 1382276704160 1727845880200 1822092019120 2004301221032 2277615023900 2505376526290 3455691760400 3644184038240 4008602442064 4555230047800 5010753052580 6263441315725 6911383520800 8017204884128 9110460095600 10021506105160 12526882631450 18220920191200 20043012210320 25053765262900 40086024420640 50107530525800 100215061051600 200430122103200