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20131133 = 112295737
BaseRepresentation
bin100110011001…
…0110100111101
31101212202201112
41030302310331
520123144013
61555251405
7333053231
oct114626475
941782645
1020131133
11103aa900
1268a9b65
13422b019
1429605c1
151b79ba8
hex1332d3d

20131133 has 12 divisors (see below), whose sum is σ = 22894620. Its totient is φ = 17666880.

The previous prime is 20131129. The next prime is 20131147. The reversal of 20131133 is 33113102.

It can be written as a sum of positive squares in 2 ways, for example, as 3833764 + 16297369 = 1958^2 + 4037^2 .

It is not a de Polignac number, because 20131133 - 22 = 20131129 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20131103) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 641 + ... + 6377.

It is an arithmetic number, because the mean of its divisors is an integer number (1907885).

Almost surely, 220131133 is an apocalyptic number.

It is an amenable number.

20131133 is a deficient number, since it is larger than the sum of its proper divisors (2763487).

20131133 is a wasteful number, since it uses less digits than its factorization.

20131133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5788 (or 5777 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 14.

The square root of 20131133 is about 4486.7731166173. The cubic root of 20131133 is about 272.0337193275.

Adding to 20131133 its reverse (33113102), we get a palindrome (53244235).

The spelling of 20131133 in words is "twenty million, one hundred thirty-one thousand, one hundred thirty-three".

Divisors: 1 11 29 121 319 3509 5737 63107 166373 694177 1830103 20131133