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4141024101 = 3317611311129
BaseRepresentation
bin1111011011010011…
…0000001101100101
3101200121001211011000
43312310300031211
531440100232401
61522524303513
7204422060364
oct36664601545
911617054130
104141024101
111835555775
129769a1b99
1350cbc9c26
142b3d837db
15193830186
hexf6d30365

4141024101 has 64 divisors (see below), whose sum is σ = 6658502400. Its totient is φ = 2533939200.

The previous prime is 4141024087. The next prime is 4141024163. The reversal of 4141024101 is 1014201414.

4141024101 is a `hidden beast` number, since 414 + 10 + 241 + 0 + 1 = 666.

It is not a de Polignac number, because 4141024101 - 29 = 4141023589 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4141024001) 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 63 ways as a sum of consecutive naturals, for example, 3667305 + ... + 3668433.

It is an arithmetic number, because the mean of its divisors is an integer number (104039100).

Almost surely, 24141024101 is an apocalyptic number.

It is an amenable number.

4141024101 is a deficient number, since it is larger than the sum of its proper divisors (2517478299).

4141024101 is a wasteful number, since it uses less digits than its factorization.

4141024101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1347 (or 1341 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 4141024101 is about 64350.7894357171. The cubic root of 4141024101 is about 1605.8411627124.

Adding to 4141024101 its reverse (1014201414), we get a palindrome (5155225515).

The spelling of 4141024101 in words is "four billion, one hundred forty-one million, twenty-four thousand, one hundred one".

Divisors: 1 3 9 17 27 51 61 131 153 183 393 459 549 1037 1129 1179 1647 2227 3111 3387 3537 6681 7991 9333 10161 19193 20043 23973 27999 30483 57579 60129 68869 71919 135847 147899 172737 206607 215757 407541 443697 518211 619821 1170773 1222623 1331091 1859463 2514283 3512319 3667869 3993273 7542849 9021839 10536957 22628547 27065517 31610871 67885641 81196551 153371263 243589653 460113789 1380341367 4141024101