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2001301222200 = 233527476500291
BaseRepresentation
bin11101000111110110110…
…110010011001100111000
321002022201010022210020220
4131013312312103030320
5230242131103102300
64131215102420040
7264406052465550
oct35076666231470
97068633283226
102001301222200
11701824403335
12283a47891620
13116950009737
146cc1360c160
15370d235eda0
hex1d1f6d93338

2001301222200 has 96 divisors (see below), whose sum is σ = 7090324344960. Its totient is φ = 457440278400.

The previous prime is 2001301222199. The next prime is 2001301222201. The reversal of 2001301222200 is 22221031002.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2001301222199) and next prime (2001301222201).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2001301222200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2001301222201) 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, 238245946 + ... + 238254345.

It is an arithmetic number, because the mean of its divisors is an integer number (73857545260).

Almost surely, 22001301222200 is an apocalyptic number.

2001301222200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2001301222200 is an abundant number, since it is smaller than the sum of its proper divisors (5089023122760).

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

2001301222200 is a wasteful number, since it uses less digits than its factorization.

2001301222200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 476500317 (or 476500308 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 2001301222200 its reverse (22221031002), we get a palindrome (2023522253202).

The spelling of 2001301222200 in words is "two trillion, one billion, three hundred one million, two hundred twenty-two thousand, two hundred".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 25 28 30 35 40 42 50 56 60 70 75 84 100 105 120 140 150 168 175 200 210 280 300 350 420 525 600 700 840 1050 1400 2100 4200 476500291 953000582 1429500873 1906001164 2382501455 2859001746 3335502037 3812002328 4765002910 5718003492 6671004074 7147504365 9530005820 10006506111 11436006984 11912507275 13342008148 14295008730 16677510185 19060011640 20013012222 23825014550 26684016296 28590017460 33355020370 35737521825 40026024444 47650029100 50032530555 57180034920 66710040740 71475043650 80052048888 83387550925 95300058200 100065061110 133420081480 142950087300 166775101850 200130122220 250162652775 285900174600 333550203700 400260244440 500325305550 667100407400 1000650611100 2001301222200