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41312140101 = 352696131031
BaseRepresentation
bin100110011110011001…
…010011101101000101
310221122010002011100000
4212132121103231011
51134101401440401
630551210311513
72661516253101
oct463631235505
9127563064300
1041312140101
111657a698351
12800b428599
133b84b7b21b
141ddc96c901
15111bcc4186
hex99e653b45

41312140101 has 48 divisors (see below), whose sum is σ = 62274925440. Its totient is φ = 27367709760.

The previous prime is 41312140003. The next prime is 41312140183. The reversal of 41312140101 is 10104121314.

41312140101 is a `hidden beast` number, since 413 + 12 + 140 + 101 = 666.

It is not a de Polignac number, because 41312140101 - 211 = 41312138053 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41312140601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 40069456 + ... + 40070486.

It is an arithmetic number, because the mean of its divisors is an integer number (1297394280).

Almost surely, 241312140101 is an apocalyptic number.

It is an amenable number.

41312140101 is a deficient number, since it is larger than the sum of its proper divisors (20962785339).

41312140101 is a wasteful number, since it uses less digits than its factorization.

41312140101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1928 (or 1916 counting only the distinct ones).

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

Adding to 41312140101 its reverse (10104121314), we get a palindrome (51416261415).

The spelling of 41312140101 in words is "forty-one billion, three hundred twelve million, one hundred forty thousand, one hundred one".

Divisors: 1 3 9 27 81 243 269 613 807 1031 1839 2421 3093 5517 7263 9279 16551 21789 27837 49653 65367 83511 148959 164897 250533 277339 494691 632003 832017 1484073 1896009 2496051 4452219 5688027 7488153 13356657 17064081 22464459 40069971 51192243 67393377 153576729 170008807 510026421 1530079263 4590237789 13770713367 41312140101