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202020330144 = 25317123786967
BaseRepresentation
bin1011110000100101011…
…0011001101010100000
3201022110010220002102210
42330021112121222200
511302214201031034
6232450140442120
720411152321233
oct2741126315240
9638403802383
10202020330144
1178749234136
12331a0249340
1316086a63cb9
149ac654d41a
1553c5a008e9
hex2f09599aa0

202020330144 has 48 divisors (see below), whose sum is σ = 561497686848. Its totient is φ = 63378926592.

The previous prime is 202020330143. The next prime is 202020330157. The reversal of 202020330144 is 441033020202.

It is a tau number, because it is divible by the number of its divisors (48).

It is a self number, because there is not a number n which added to its sum of digits gives 202020330144.

It is not an unprimeable number, because it can be changed into a prime (202020330143) 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 7 ways as a sum of consecutive naturals, for example, 61891852 + ... + 61895115.

It is an arithmetic number, because the mean of its divisors is an integer number (11697868476).

Almost surely, 2202020330144 is an apocalyptic number.

202020330144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

202020330144 is an abundant number, since it is smaller than the sum of its proper divisors (359477356704).

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

202020330144 is a wasteful number, since it uses less digits than its factorization.

202020330144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123786997 (or 123786989 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

Adding to 202020330144 its reverse (441033020202), we get a palindrome (643053350346).

The spelling of 202020330144 in words is "two hundred two billion, twenty million, three hundred thirty thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 68 96 102 136 204 272 408 544 816 1632 123786967 247573934 371360901 495147868 742721802 990295736 1485443604 1980591472 2104378439 2970887208 3961182944 4208756878 5941774416 6313135317 8417513756 11883548832 12626270634 16835027512 25252541268 33670055024 50505082536 67340110048 101010165072 202020330144