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11232101133 = 32113111233259
BaseRepresentation
bin10100111010111110…
…00100001100001101
31001222210011212010200
422131133010030031
5141000404214013
65054314524113
7545225166351
oct123537041415
931883155120
1011232101133
114844256910
122215736639
1310a00410b6
14787a4b461
1545b139e73
hex29d7c430d

11232101133 has 48 divisors (see below), whose sum is σ = 18291886080. Its totient is φ = 6579856800.

The previous prime is 11232101119. The next prime is 11232101141. The reversal of 11232101133 is 33110123211.

11232101133 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 11232101133 - 24 = 11232101117 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11232101113) 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 47 ways as a sum of consecutive naturals, for example, 3444858 + ... + 3448116.

It is an arithmetic number, because the mean of its divisors is an integer number (381080960).

Almost surely, 211232101133 is an apocalyptic number.

It is an amenable number.

11232101133 is a deficient number, since it is larger than the sum of its proper divisors (7059784947).

11232101133 is a wasteful number, since it uses less digits than its factorization.

11232101133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4430 (or 4427 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 11232101133 its reverse (33110123211), we get a palindrome (44342224344).

The spelling of 11232101133 in words is "eleven billion, two hundred thirty-two million, one hundred one thousand, one hundred thirty-three".

Divisors: 1 3 9 11 31 33 93 99 279 341 1023 1123 3069 3259 3369 9777 10107 12353 29331 34813 35849 37059 101029 104439 107547 111177 303087 313317 322641 382943 909261 1111319 1148829 3333957 3446487 3659857 10001871 10979571 32938713 40258427 113455567 120775281 340366701 362325843 1021100103 1248011237 3744033711 11232101133