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13302100201302 = 23311712391319707
BaseRepresentation
bin1100000110010010001011…
…1101010000111101010110
31202002200001020022211121000
43001210202331100331112
53220420200122420202
644142522300204130
72542021305056643
oct301444275207526
952080036284530
1013302100201302
114269430862350
1215aa052539646
137564c8945693
1433db7a066dca
151810413ec91c
hexc1922f50f56

13302100201302 has 128 divisors (see below), whose sum is σ = 32838558105600. Its totient is φ = 3957534352800.

The previous prime is 13302100201297. The next prime is 13302100201349. The reversal of 13302100201302 is 20310200120331.

13302100201302 is a `hidden beast` number, since 1 + 330 + 2 + 10 + 0 + 20 + 1 + 302 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9419733 + ... + 10739439.

It is an arithmetic number, because the mean of its divisors is an integer number (256551235200).

Almost surely, 213302100201302 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13302100201302, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16419279052800).

13302100201302 is an abundant number, since it is smaller than the sum of its proper divisors (19536457904298).

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

13302100201302 is a wasteful number, since it uses less digits than its factorization.

13302100201302 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1320039 (or 1320033 counting only the distinct ones).

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

Adding to 13302100201302 its reverse (20310200120331), we get a palindrome (33612300321633).

The spelling of 13302100201302 in words is "thirteen trillion, three hundred two billion, one hundred million, two hundred one thousand, three hundred two".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 71 99 142 198 213 239 297 426 478 594 639 717 781 1278 1434 1562 1917 2151 2343 2629 3834 4302 4686 5258 6453 7029 7887 12906 14058 15774 16969 21087 23661 33938 42174 47322 50907 70983 101814 141966 152721 186659 305442 373318 458163 559977 916326 1119954 1319707 1679931 2639414 3359862 3959121 5039793 7918242 10079586 11877363 14516777 23754726 29033554 35632089 43550331 71264178 87100662 93699197 130650993 187398394 261301986 281097591 315409973 391952979 562195182 630819946 783905958 843292773 946229919 1030691167 1686585546 1892459838 2061382334 2529878319 2838689757 3092073501 3469509703 5059756638 5677379514 6184147002 6939019406 8516069271 9276220503 10408529109 17032138542 18552441006 20817058218 22394108083 27828661509 31225587327 44788216166 55657323018 62451174654 67182324249 93676761981 134364648498 187353523962 201546972747 246335188913 403093945494 492670377826 604640918241 739005566739 1209281836482 1478011133478 2217016700217 4434033400434 6651050100651 13302100201302