Search a number
-
+
11201311321301 = 1493531049203017
BaseRepresentation
bin1010001100000000001000…
…1011101010110011010101
31110122211112122102101110102
42203000002023222303111
52432010241144240201
635453451131503445
72234160636162443
oct243000213526325
943584478371412
1011201311321301
1136294a4250222
12130aa805b7b85
1363338231329a
142aa209883b93
15146589d0826b
hexa30022eacd5

11201311321301 has 16 divisors (see below), whose sum is σ = 11319268590000. Its totient is φ = 11083984969728.

The previous prime is 11201311321279. The next prime is 11201311321313. The reversal of 11201311321301 is 10312311310211.

It can be written as a sum of positive squares in 8 ways, for example, as 1223957218276 + 9977354103025 = 1106326^2 + 3158695^2 .

It is a cyclic number.

It is not a de Polignac number, because 11201311321301 - 238 = 10926433414357 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11201311321901) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 55072745 + ... + 55275761.

It is an arithmetic number, because the mean of its divisors is an integer number (707454286875).

Almost surely, 211201311321301 is an apocalyptic number.

It is an amenable number.

11201311321301 is a deficient number, since it is larger than the sum of its proper divisors (117957268699).

11201311321301 is a wasteful number, since it uses less digits than its factorization.

11201311321301 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204568.

The product of its (nonzero) digits is 108, while the sum is 20.

Adding to 11201311321301 its reverse (10312311310211), we get a palindrome (21513622631512).

The spelling of 11201311321301 in words is "eleven trillion, two hundred one billion, three hundred eleven million, three hundred twenty-one thousand, three hundred one".

Divisors: 1 149 353 1049 52597 156301 203017 370297 30249533 55174253 71665001 212964833 10678085149 31731760117 75176586049 11201311321301