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4141312022133 = 32111314921595991
BaseRepresentation
bin111100010000111001011…
…011101001011001110101
3112122220110011012012200200
4330100321123221121311
51020322401334202013
612450254213031113
7605125400243616
oct74207133513165
915586404165620
104141312022133
111357358744420
1256a745025499
132406a7444790
14104624cdbc0d
1572ad1e93e73
hex3c4396e9675

4141312022133 has 48 divisors (see below), whose sum is σ = 7074846979200. Its totient is φ = 2301268694400.

The previous prime is 4141312022119. The next prime is 4141312022137. The reversal of 4141312022133 is 3312202131414.

4141312022133 is a `hidden beast` number, since 4 + 1 + 413 + 1 + 20 + 221 + 3 + 3 = 666.

4141312022133 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 4141312022133 - 221 = 4141309924981 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 4141312022097 and 4141312022106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4141312022137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10606233 + ... + 10989758.

It is an arithmetic number, because the mean of its divisors is an integer number (147392645400).

Almost surely, 24141312022133 is an apocalyptic number.

It is an amenable number.

4141312022133 is a deficient number, since it is larger than the sum of its proper divisors (2933534957067).

4141312022133 is a wasteful number, since it uses less digits than its factorization.

4141312022133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21596170 (or 21596167 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 4141312022133 its reverse (3312202131414), we get a palindrome (7453514153547).

The spelling of 4141312022133 in words is "four trillion, one hundred forty-one billion, three hundred twelve million, twenty-two thousand, one hundred thirty-three".

Divisors: 1 3 9 11 13 33 39 99 117 143 149 429 447 1287 1341 1639 1937 4917 5811 14751 17433 21307 63921 191763 21595991 64787973 194363919 237555901 280747883 712667703 842243649 2138003109 2526730947 3088226713 3217802659 9264680139 9653407977 27794040417 28960223931 35395829249 41831434567 106187487747 125494303701 318562463241 376482911103 460145780237 1380437340711 4141312022133