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10201221303 = 37132310971481
BaseRepresentation
bin10011000000000101…
…00100100010110111
3222022221101201212020
421200002210202313
5131343003040203
64404131324223
7510536643660
oct114002444267
928287351766
1010201221303
114365361609
121b88450673
13c675b1630
146cab82367
153ea8a9153
hex2600a48b7

10201221303 has 64 divisors (see below), whose sum is σ = 17496041472. Its totient is φ = 5138749440.

The previous prime is 10201221299. The next prime is 10201221313. The reversal of 10201221303 is 30312210201.

It is not a de Polignac number, because 10201221303 - 22 = 10201221299 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10201221313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6887323 + ... + 6888803.

It is an arithmetic number, because the mean of its divisors is an integer number (273375648).

Almost surely, 210201221303 is an apocalyptic number.

10201221303 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

10201221303 is a deficient number, since it is larger than the sum of its proper divisors (7294820169).

10201221303 is a wasteful number, since it uses less digits than its factorization.

10201221303 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2624.

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 10201221303 its reverse (30312210201), we get a palindrome (40513431504).

The spelling of 10201221303 in words is "ten billion, two hundred one million, two hundred twenty-one thousand, three hundred three".

Divisors: 1 3 7 13 21 23 39 69 91 161 273 299 483 897 1097 1481 2093 3291 4443 6279 7679 10367 14261 19253 23037 25231 31101 34063 42783 57759 75693 99827 102189 134771 176617 238441 299481 328003 404313 442819 529851 715323 984009 1328457 1624657 2296021 3099733 4873971 6888063 9299199 11372599 21120541 34117797 37367111 63361623 112101333 147843787 261569777 443531361 485772443 784709331 1457317329 3400407101 10201221303