Search a number
-
+
13201030101303 = 341118186419473
BaseRepresentation
bin1100000000011001101010…
…1101011011100100110111
31201202000011111002210010000
43000012122231123210313
53212241202201220203
644024245225202343
72531512555306242
oct300063255334467
951660144083100
1013201030101303
11422a586384290
1215925463303b3
13749b0c523895
14338d0cc4c259
1517d5c82864a3
hexc019ab5b937

13201030101303 has 80 divisors (see below), whose sum is σ = 21636432129312. Its totient is φ = 7954661376000.

The previous prime is 13201030101299. The next prime is 13201030101331. The reversal of 13201030101303 is 30310103010231.

It is a happy number.

13201030101303 is a `hidden beast` number, since 1 + 320 + 1 + 0 + 30 + 10 + 1 + 303 = 666.

13201030101303 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 13201030101303 - 22 = 13201030101299 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13201020101303) 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, 1393537975 + ... + 1393547447.

Almost surely, 213201030101303 is an apocalyptic number.

13201030101303 is a deficient number, since it is larger than the sum of its proper divisors (8435402028009).

13201030101303 is a wasteful number, since it uses less digits than its factorization.

13201030101303 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18318 (or 18309 counting only the distinct ones).

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

Adding to 13201030101303 its reverse (30310103010231), we get a palindrome (43511133111534).

The spelling of 13201030101303 in words is "thirteen trillion, two hundred one billion, thirty million, one hundred one thousand, three hundred three".

Divisors: 1 3 9 11 27 33 81 99 181 297 543 891 1629 1991 4887 5973 8641 9473 14661 17919 25923 28419 53757 77769 85257 95051 104203 161271 233307 255771 285153 312609 699921 767313 855459 937827 1564021 1714613 2566377 2813481 4692063 5143839 7699131 8440443 14076189 15431517 17204231 18860743 42228567 46294551 51612693 56582229 81856193 126685701 138883653 154838079 169746687 245568579 464514237 509240061 736705737 900418123 1393542711 1527720183 2210117211 2701254369 6630351633 8103763107 14815970933 24311289321 44447912799 72933867963 133343738397 162975680263 400031215191 488927040789 1200093645573 1466781122367 4400343367101 13201030101303