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41113021221 = 32172313731367
BaseRepresentation
bin100110010010100001…
…101110101100100101
310221010020101212120200
4212102201232230211
51133144413134341
630515334421113
72653550625426
oct462241565445
9127106355520
1041113021221
1116488257398
127b74801799
133b52841cbc
141dc033964d
151109590db6
hex99286eb25

41113021221 has 72 divisors (see below), whose sum is σ = 65341545984. Its totient is φ = 24879121920.

The previous prime is 41113021217. The next prime is 41113021247. The reversal of 41113021221 is 12212031114.

41113021221 is a `hidden beast` number, since 411 + 1 + 30 + 2 + 1 + 221 = 666.

It is not a de Polignac number, because 41113021221 - 22 = 41113021217 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 41113021194 and 41113021203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41113021291) 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 71 ways as a sum of consecutive naturals, for example, 30074680 + ... + 30076046.

It is an arithmetic number, because the mean of its divisors is an integer number (907521472).

Almost surely, 241113021221 is an apocalyptic number.

It is an amenable number.

41113021221 is a deficient number, since it is larger than the sum of its proper divisors (24228524763).

41113021221 is a wasteful number, since it uses less digits than its factorization.

41113021221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1811 (or 1791 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 41113021221 its reverse (12212031114), we get a palindrome (53325052335).

The spelling of 41113021221 in words is "forty-one billion, one hundred thirteen million, twenty-one thousand, two hundred twenty-one".

Divisors: 1 3 9 17 31 51 93 153 279 289 373 527 867 1119 1367 1581 2601 3357 4101 4743 6341 8959 11563 12303 19023 23239 26877 34689 42377 57069 69717 80631 104067 107797 127131 196571 209151 323391 381393 395063 509891 589713 720409 970173 1185189 1529673 1769139 2161227 3341707 3555567 4589019 6483681 8668147 10025121 12246953 15806621 26004441 30075363 36740859 47419863 78013323 110222577 142259589 147358499 268712557 442075497 806137671 1326226491 2418413013 4568113469 13704340407 41113021221