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11320010133 = 31719291033911
BaseRepresentation
bin10101000101011100…
…11010010110010101
31002012220121002121120
422202232122112111
5141140410311013
65111135034153
7550343332665
oct124256322625
932186532546
1011320010133
11488993a183
12223b06b959
1310b5310363
147955b21a5
15463c02123
hex2a2b9a595

11320010133 has 64 divisors (see below), whose sum is σ = 17575833600. Its totient is φ = 6432168960.

The previous prime is 11320010081. The next prime is 11320010183. The reversal of 11320010133 is 33101002311.

11320010133 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 11320010133 - 26 = 11320010069 is a prime.

It is a super-2 number, since 2×113200101332 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11320010183) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2892448 + ... + 2896358.

It is an arithmetic number, because the mean of its divisors is an integer number (274622400).

Almost surely, 211320010133 is an apocalyptic number.

It is an amenable number.

11320010133 is a deficient number, since it is larger than the sum of its proper divisors (6255823467).

11320010133 is a wasteful number, since it uses less digits than its factorization.

11320010133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4082.

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 11320010133 its reverse (33101002311), we get a palindrome (44421012444).

The spelling of 11320010133 in words is "eleven billion, three hundred twenty million, ten thousand, one hundred thirty-three".

Divisors: 1 3 17 19 29 51 57 87 103 309 323 493 551 969 1479 1653 1751 1957 2987 3911 5253 5871 8961 9367 11733 28101 33269 50779 56753 66487 74309 99807 113419 152337 170259 199461 222927 340257 402833 964801 1208499 1263253 1928123 2154961 2894403 3789759 5784369 6464883 6848161 7653827 11682157 20544483 22961481 35046471 36634337 109903011 130115059 198596669 221960983 390345177 595790007 665882949 3773336711 11320010133