Search a number
-
+
13325315325201 = 321117101503155849
BaseRepresentation
bin1100000111101000101010…
…1011111011110100010001
31202011212222010200022200200
43001322022223323310101
53221310221210401301
644201322041005413
72543502510263625
oct301721253736421
952155863608620
1013325315325201
114278264124560
1215b2651183869
13758758455999
14340d3d353185
1518194e552c86
hexc1e8aafbd11

13325315325201 has 96 divisors (see below), whose sum is σ = 22497518534400. Its totient is φ = 7510626816000.

The previous prime is 13325315325197. The next prime is 13325315325211. The reversal of 13325315325201 is 10252351352331.

13325315325201 is a `hidden beast` number, since 1 + 3 + 3 + 253 + 153 + 252 + 0 + 1 = 666.

It is not a de Polignac number, because 13325315325201 - 22 = 13325315325197 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13325315325211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 85423525 + ... + 85579373.

It is an arithmetic number, because the mean of its divisors is an integer number (234349151400).

Almost surely, 213325315325201 is an apocalyptic number.

13325315325201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

13325315325201 is a deficient number, since it is larger than the sum of its proper divisors (9172203209199).

13325315325201 is a wasteful number, since it uses less digits than its factorization.

13325315325201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156487 (or 156484 counting only the distinct ones).

The product of its (nonzero) digits is 81000, while the sum is 36.

Adding to 13325315325201 its reverse (10252351352331), we get a palindrome (23577666677532).

The spelling of 13325315325201 in words is "thirteen trillion, three hundred twenty-five billion, three hundred fifteen million, three hundred twenty-five thousand, two hundred one".

Divisors: 1 3 9 11 17 33 51 99 101 153 187 303 503 561 909 1111 1509 1683 1717 3333 4527 5151 5533 8551 9999 15453 16599 18887 25653 49797 50803 56661 76959 94061 152409 155849 169983 282183 457227 467547 558833 846549 863651 1402641 1676499 1714339 2590953 2649433 5029497 5143017 7772859 7948299 9500161 15429051 15740749 23844897 28500483 29143763 47222247 78392047 85501449 87431289 141666741 173148239 235176141 262293867 267592733 519444717 705528423 802778199 862312517 1332664799 1558334151 2408334597 2586937551 2943520063 3997994397 7760812653 7917596747 8830560189 11993983191 14659312789 23752790241 26491680567 43977938367 71258370723 87093564217 131933815101 134599144699 261280692651 403797434097 783842077953 1211392302291 1480590591689 4441771775067 13325315325201