Search a number
-
+
540100030221 = 33179191280401
BaseRepresentation
bin1111101110000000111…
…10000110111100001101
31220122002111111022102000
413313000132012330031
532322111101431341
61052041334022513
754010116336423
oct7670036067415
91818074438360
10540100030221
11199067428744
12888124a7a39
133bc14b547cb
141c1d8bcd113
15e0b12c88b6
hex7dc0786f0d

540100030221 has 32 divisors (see below), whose sum is σ = 848138284800. Its totient is φ = 338517273600.

The previous prime is 540100030117. The next prime is 540100030237. The reversal of 540100030221 is 122030001045.

540100030221 is a `hidden beast` number, since 540 + 100 + 0 + 3 + 0 + 2 + 21 = 666.

It is not a de Polignac number, because 540100030221 - 29 = 540100029709 is a prime.

It is a super-2 number, since 2×5401000302212 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 540100030194 and 540100030203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (540100030291) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 218380 + ... + 1062021.

It is an arithmetic number, because the mean of its divisors is an integer number (26504321400).

Almost surely, 2540100030221 is an apocalyptic number.

540100030221 is a gapful number since it is divisible by the number (51) formed by its first and last digit.

It is an amenable number.

540100030221 is a deficient number, since it is larger than the sum of its proper divisors (308038254579).

540100030221 is a wasteful number, since it uses less digits than its factorization.

540100030221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1281346 (or 1281340 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

Adding to 540100030221 its reverse (122030001045), we get a palindrome (662130031266).

The spelling of 540100030221 in words is "five hundred forty billion, one hundred million, thirty thousand, two hundred twenty-one".

Divisors: 1 3 9 17 27 51 153 459 919 2757 8271 15623 24813 46869 140607 421821 1280401 3841203 11523609 21766817 34570827 65300451 195901353 587704059 1176688519 3530065557 10590196671 20003704823 31770590013 60011114469 180033343407 540100030221