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540101133 = 321113292499
BaseRepresentation
bin100000001100010…
…100101000001101
31101122021222110200
4200030110220031
52101231214013
6125332124113
716245532605
oct4014245015
91348258420
10540101133
11257966a80
12130a66639
1387b85990
1451a33c05
1532639e73
hex20314a0d

540101133 has 72 divisors (see below), whose sum is σ = 951132000. Its totient is φ = 291150720.

The previous prime is 540101123. The next prime is 540101147. The reversal of 540101133 is 331101045.

540101133 is a `hidden beast` number, since 540 + 10 + 113 + 3 = 666.

It is not a de Polignac number, because 540101133 - 26 = 540101069 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (540101123) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1082118 + ... + 1082616.

Almost surely, 2540101133 is an apocalyptic number.

It is an amenable number.

540101133 is a deficient number, since it is larger than the sum of its proper divisors (411030867).

540101133 is a wasteful number, since it uses less digits than its factorization.

540101133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 587 (or 555 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 540101133 is about 23240.0760110633. The cubic root of 540101133 is about 814.3761183231.

Adding to 540101133 its reverse (331101045), we get a palindrome (871202178).

The spelling of 540101133 in words is "five hundred forty million, one hundred one thousand, one hundred thirty-three".

Divisors: 1 3 9 11 13 29 33 39 87 99 117 143 261 319 377 429 499 841 957 1131 1287 1497 2523 2871 3393 4147 4491 5489 6487 7569 9251 10933 12441 14471 16467 19461 27753 32799 37323 43413 49401 58383 71357 83259 98397 120263 130239 159181 188123 214071 360789 419659 477543 564369 642213 1082367 1258977 1432629 1693107 2069353 3776931 4616249 5455567 6208059 13848747 16366701 18624177 41546241 49100103 60011237 180033711 540101133