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201322023300 = 223252223691137
BaseRepresentation
bin1011101101111110111…
…0100100100110000100
3201020122110220102112100
42323133232210212010
511244301414221200
6232252553352100
720354642651226
oct2733756444604
9636573812470
10201322023300
1178420040942
1233026408630
1315ca5198498
149a5b8d6416
155384564d00
hex2edfba4984

201322023300 has 54 divisors (see below), whose sum is σ = 631032700298. Its totient is φ = 53685872640.

The previous prime is 201322023293. The next prime is 201322023307. The reversal of 201322023300 is 3320223102.

It is a happy number.

201322023300 is a `hidden beast` number, since 2 + 0 + 132 + 202 + 330 + 0 = 666.

201322023300 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (201322023293) and next prime (201322023307).

It can be written as a sum of positive squares in 3 ways, for example, as 38466192384 + 162855830916 = 196128^2 + 403554^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (201322023307) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 111844669 + ... + 111846468.

Almost surely, 2201322023300 is an apocalyptic number.

201322023300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201322023300 is an abundant number, since it is smaller than the sum of its proper divisors (429710676998).

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

201322023300 is a wasteful number, since it uses less digits than its factorization.

201322023300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223691157 (or 223691147 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 201322023300 its reverse (3320223102), we get a palindrome (204642246402).

The spelling of 201322023300 in words is "two hundred one billion, three hundred twenty-two million, twenty-three thousand, three hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 450 900 223691137 447382274 671073411 894764548 1118455685 1342146822 2013220233 2236911370 2684293644 3355367055 4026440466 4473822740 5592278425 6710734110 8052880932 10066101165 11184556850 13421468220 16776835275 20132202330 22369113700 33553670550 40264404660 50330505825 67107341100 100661011650 201322023300