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13302100310301 = 341143520966653
BaseRepresentation
bin1100000110010010001011…
…1101101011100100011101
31202002200001020112101010000
43001210202331223210131
53220420200134412201
644142522302404513
72542021306022505
oct301444275534435
952080036471100
1013302100310301
114269430927230
1215aa052590739
137564c898318a
1433db7a094a05
1518104141ed86
hexc1922f6b91d

13302100310301 has 80 divisors (see below), whose sum is σ = 22186215817920. Its totient is φ = 7872763610880.

The previous prime is 13302100310281. The next prime is 13302100310309. The reversal of 13302100310301 is 10301300120331.

It is a happy number.

13302100310301 is a `hidden beast` number, since 1 + 3 + 30 + 21 + 0 + 0 + 310 + 301 = 666.

13302100310301 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13302100310301 - 213 = 13302100302109 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13302100310309) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 199539091 + ... + 199605743.

It is an arithmetic number, because the mean of its divisors is an integer number (277327697724).

Almost surely, 213302100310301 is an apocalyptic number.

13302100310301 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

13302100310301 is a deficient number, since it is larger than the sum of its proper divisors (8884115507619).

13302100310301 is a wasteful number, since it uses less digits than its factorization.

13302100310301 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71928 (or 71919 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 13302100310301 its reverse (10301300120331), we get a palindrome (23603400430632).

The spelling of 13302100310301 in words is "thirteen trillion, three hundred two billion, one hundred million, three hundred ten thousand, three hundred one".

Divisors: 1 3 9 11 27 33 43 81 99 129 297 387 473 891 1161 1419 3483 4257 5209 12771 15627 38313 46881 57299 66653 140643 171897 199959 223987 421929 515691 599877 671961 733183 1547073 1799631 2015883 2199549 2463857 2866079 4641219 5398893 6047649 6598647 7391571 8598237 18142947 19795941 22174713 25794711 31526869 59387823 66524139 77384133 94580607 199572417 232152399 283741821 347195477 851225463 1041586431 2553676389 3124759293 3819150247 9374277879 11457450741 14929405511 28122833637 34372352223 44788216533 103117056669 134364649599 164223460621 309351170007 403093948797 492670381863 1209281846391 1478011145589 4434033436767 13302100310301