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20321201313 = 32731711011451
BaseRepresentation
bin10010111011001111…
…001110110010100001
31221110012220222121200
4102323033032302201
5313104211420223
613200241511413
71316402234610
oct227317166241
957405828550
1020321201313
118688874356
123b31642569
131bbb0b989a
14daac17877
157de066a43
hex4bb3ceca1

20321201313 has 96 divisors (see below), whose sum is σ = 35488088064. Its totient is φ = 10962000000.

The previous prime is 20321201297. The next prime is 20321201323. The reversal of 20321201313 is 31310212302.

It is not a de Polignac number, because 20321201313 - 24 = 20321201297 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (20321201323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14004238 + ... + 14005688.

It is an arithmetic number, because the mean of its divisors is an integer number (369667584).

Almost surely, 220321201313 is an apocalyptic number.

It is an amenable number.

20321201313 is a deficient number, since it is larger than the sum of its proper divisors (15166886751).

20321201313 is a wasteful number, since it uses less digits than its factorization.

20321201313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1667 (or 1664 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 20321201313 its reverse (31310212302), we get a palindrome (51631413615).

The spelling of 20321201313 in words is "twenty billion, three hundred twenty-one million, two hundred one thousand, three hundred thirteen".

Divisors: 1 3 7 9 21 31 63 71 93 101 213 217 279 303 497 639 651 707 909 1451 1491 1953 2121 2201 3131 4353 4473 6363 6603 7171 9393 10157 13059 15407 19809 21513 21917 28179 30471 44981 46221 50197 64539 65751 91413 103021 134943 138663 146551 150591 197253 222301 309063 314867 404829 439653 451773 666903 721147 927189 944601 1025857 1318959 1556107 2000709 2163441 2833803 3077571 3193651 4543081 4668321 6490323 9232713 9580953 10405121 13629243 14004963 22355557 28742859 31215363 31801567 40887729 67066671 72835847 93646089 95404701 201200013 218507541 286214103 322558751 655522623 967676253 2257911257 2903028759 6773733771 20321201313