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20131024221 = 32721122913009
BaseRepresentation
bin10010101111111001…
…110000110101011101
31220221222001222200200
4102233321300311131
5312212020233341
613125325414113
71311602611500
oct225771606535
956858058620
1020131024221
1185a0490500
123a99a0a339
131b8a891669
14d8d871137
157cc4ecdb6
hex4afe70d5d

20131024221 has 108 divisors (see below), whose sum is σ = 38465235900. Its totient is φ = 10096289280.

The previous prime is 20131024219. The next prime is 20131024223. The reversal of 20131024221 is 12242013102.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (20131024219) and next prime (20131024223).

It can be written as a sum of positive squares in 2 ways, for example, as 7109019225 + 13022004996 = 84315^2 + 114114^2 .

It is not a de Polignac number, because 20131024221 - 21 = 20131024219 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 20131024194 and 20131024203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20131024223) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 1540965 + ... + 1553973.

Almost surely, 220131024221 is an apocalyptic number.

20131024221 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

20131024221 is a deficient number, since it is larger than the sum of its proper divisors (18334211679).

20131024221 is a wasteful number, since it uses less digits than its factorization.

20131024221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13080 (or 13059 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 20131024221 its reverse (12242013102), we get a palindrome (32373037323).

The spelling of 20131024221 in words is "twenty billion, one hundred thirty-one million, twenty-four thousand, two hundred twenty-one".

Divisors: 1 3 7 9 11 21 29 33 49 63 77 87 99 121 147 203 231 261 319 363 441 539 609 693 847 957 1089 1421 1617 1827 2233 2541 2871 3509 4263 4851 5929 6699 7623 10527 12789 13009 15631 17787 20097 24563 31581 39027 46893 53361 73689 91063 117081 140679 143099 171941 221067 273189 377261 429297 515823 637441 819567 1001693 1131783 1287891 1547469 1574089 1912323 2640827 3005079 3395349 4149871 4722267 5736969 7011851 7922481 9015237 11018623 12449613 14166801 18485789 21035553 23767443 29049097 33055869 37348839 45648581 55457367 63106659 77130361 87147291 99167607 136945743 166372101 203343679 231391083 261441873 319540067 410837229 610031037 694173249 958620201 1830093111 2236780469 2875860603 6710341407 20131024221