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201303342200 = 235231191169991
BaseRepresentation
bin1011101101111010011…
…1010011110001111000
3201020121011202022212202
42323132213103301320
511244232123422300
6232251045125332
720354325114332
oct2733647236170
9636534668782
10201303342200
1178410541514
12330200b9848
1315ca135748c
149a59232452
155382ac4ad5
hex2ede9d3c78

201303342200 has 96 divisors (see below), whose sum is σ = 485660344320. Its totient is φ = 77515440000.

The previous prime is 201303342199. The next prime is 201303342209. The reversal of 201303342200 is 2243303102.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201303342209) 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, 1099205 + ... + 1269195.

It is an arithmetic number, because the mean of its divisors is an integer number (5058961920).

Almost surely, 2201303342200 is an apocalyptic number.

201303342200 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 201303342200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242830172160).

201303342200 is an abundant number, since it is smaller than the sum of its proper divisors (284357002120).

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

201303342200 is a wasteful number, since it uses less digits than its factorization.

201303342200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170229 (or 170220 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

Adding to 201303342200 its reverse (2243303102), we get a palindrome (203546645302).

The spelling of 201303342200 in words is "two hundred one billion, three hundred three million, three hundred forty-two thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 31 40 50 62 100 124 155 191 200 248 310 382 620 764 775 955 1240 1528 1550 1910 3100 3820 4775 5921 6200 7640 9550 11842 19100 23684 29605 38200 47368 59210 118420 148025 169991 236840 296050 339982 592100 679964 849955 1184200 1359928 1699910 3399820 4249775 5269721 6799640 8499550 10539442 16999100 21078884 26348605 32468281 33998200 42157768 52697210 64936562 105394420 129873124 131743025 162341405 210788840 259746248 263486050 324682810 526972100 649365620 811707025 1006516711 1053944200 1298731240 1623414050 2013033422 3246828100 4026066844 5032583555 6493656200 8052133688 10065167110 20130334220 25162917775 40260668440 50325835550 100651671100 201303342200