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201022001200 = 24521729562059
BaseRepresentation
bin1011101100110111011…
…0000101000000110000
3201012212120100201120201
42323031312011000300
511243143113014300
6232203115044544
720344340550226
oct2731566050060
9635776321521
10201022001200
1178286751899
1232b61a40754
1315c57c90607
149a2db18b16
15536804e66a
hex2ecdd85030

201022001200 has 60 divisors (see below), whose sum is σ = 511364513880. Its totient is φ = 75678868480.

The previous prime is 201022001177. The next prime is 201022001209. The reversal of 201022001200 is 2100220102.

201022001200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (201022001209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14774230 + ... + 14787829.

It is an arithmetic number, because the mean of its divisors is an integer number (8522741898).

Almost surely, 2201022001200 is an apocalyptic number.

201022001200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201022001200 is an abundant number, since it is smaller than the sum of its proper divisors (310342512680).

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

201022001200 is a wasteful number, since it uses less digits than its factorization.

201022001200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29562094 (or 29562083 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 201022001200 its reverse (2100220102), we get a palindrome (203122221302).

The spelling of 201022001200 in words is "two hundred one billion, twenty-two million, one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 17 20 25 34 40 50 68 80 85 100 136 170 200 272 340 400 425 680 850 1360 1700 3400 6800 29562059 59124118 118248236 147810295 236496472 295620590 472992944 502555003 591241180 739051475 1005110006 1182482360 1478102950 2010220012 2364964720 2512775015 2956205900 4020440024 5025550030 5912411800 8040880048 10051100060 11824823600 12563875075 20102200120 25127750150 40204400240 50255500300 100511000600 201022001200