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200201202120220 = 22572733278699783
BaseRepresentation
bin101101100001010011111001…
…100010010011011000011100
3222020212001021222220202222221
4231201103321202103120130
5202220044030220321340
61545443055041115124
760112026264160300
oct5541237142233034
9866761258822887
10200201202120220
11588769423a9234
121a554401628aa4
138792b7a6655a2
143761b0b627d00
151822a5cd1c44a
hexb614f989361c

200201202120220 has 72 divisors (see below), whose sum is σ = 489730145645664. Its totient is φ = 68546768782464.

The previous prime is 200201202120119. The next prime is 200201202120221. The reversal of 200201202120220 is 22021202102002.

It is a junction number, because it is equal to n+sod(n) for n = 200201202120194 and 200201202120203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200201202120221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 138631552 + ... + 140068231.

It is an arithmetic number, because the mean of its divisors is an integer number (6801807578412).

Almost surely, 2200201202120220 is an apocalyptic number.

200201202120220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

200201202120220 is an abundant number, since it is smaller than the sum of its proper divisors (289528943525444).

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

200201202120220 is a wasteful number, since it uses less digits than its factorization.

200201202120220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278700539 (or 278700530 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 200201202120220 its reverse (22021202102002), we get a palindrome (222222404222222).

The spelling of 200201202120220 in words is "two hundred trillion, two hundred one billion, two hundred two million, one hundred twenty thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 140 196 245 490 733 980 1466 2932 3665 5131 7330 10262 14660 20524 25655 35917 51310 71834 102620 143668 179585 359170 718340 278699783 557399566 1114799132 1393498915 1950898481 2786997830 3901796962 5573995660 7803593924 9754492405 13656289367 19508984810 27312578734 39017969620 54625157468 68281446835 136562893670 204286940939 273125787340 408573881878 817147763756 1021434704695 1430008586573 2042869409390 2860017173146 4085738818780 5720034346292 7150042932865 10010060106011 14300085865730 20020120212022 28600171731460 40040240424044 50050300530055 100100601060110 200201202120220