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540221002101 = 33112165356903
BaseRepresentation
bin1111101110001111010…
…11100101000101110101
31220122101221010022122000
413313013223211011311
532322333034031401
61052101334525513
754013115516214
oct7670753450565
91818357108560
10540221002101
11199119743700
1288846b06899
133bc33c2bbc1
141c20acbd07b
15e0bbc22186
hex7dc7ae5175

540221002101 has 24 divisors (see below), whose sum is σ = 879698729280. Its totient is φ = 327406665960.

The previous prime is 540221002091. The next prime is 540221002163. The reversal of 540221002101 is 101200122045.

540221002101 is a `hidden beast` number, since 540 + 2 + 2 + 100 + 21 + 0 + 1 = 666.

It is not a de Polignac number, because 540221002101 - 215 = 540220969333 is a prime.

It is a super-2 number, since 2×5402210021012 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (540221000101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 82675185 + ... + 82681718.

It is an arithmetic number, because the mean of its divisors is an integer number (36654113720).

Almost surely, 2540221002101 is an apocalyptic number.

It is an amenable number.

540221002101 is a deficient number, since it is larger than the sum of its proper divisors (339477727179).

540221002101 is a wasteful number, since it uses less digits than its factorization.

540221002101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165356934 (or 165356917 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

Adding to 540221002101 its reverse (101200122045), we get a palindrome (641421124146).

The spelling of 540221002101 in words is "five hundred forty billion, two hundred twenty-one million, two thousand, one hundred one".

Divisors: 1 3 9 11 27 33 99 121 297 363 1089 3267 165356903 496070709 1488212127 1818925933 4464636381 5456777799 16370333397 20008185263 49111000191 60024555789 180073667367 540221002101