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2133144410341 = 719317917936587
BaseRepresentation
bin11111000010101001010…
…100001001100011100101
321112221000111112200200011
4133002221110021203211
5234422134432112331
64311541503450221
7310054210214350
oct37025124114345
97487014480604
102133144410341
11752730454a4a
122a55018b6971
13126201a13029
147535d7d3297
153a74be0d3b1
hex1f0a95098e5

2133144410341 has 64 divisors (see below), whose sum is σ = 2697560064000. Its totient is φ = 1645790477760.

The previous prime is 2133144410339. The next prime is 2133144410389. The reversal of 2133144410341 is 1430144413312.

It is a cyclic number.

It is not a de Polignac number, because 2133144410341 - 21 = 2133144410339 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2133144410311) 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 63 ways as a sum of consecutive naturals, for example, 58285050 + ... + 58321636.

It is an arithmetic number, because the mean of its divisors is an integer number (42149376000).

Almost surely, 22133144410341 is an apocalyptic number.

It is an amenable number.

2133144410341 is a deficient number, since it is larger than the sum of its proper divisors (564415653659).

2133144410341 is a wasteful number, since it uses less digits than its factorization.

2133144410341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36902.

The product of its (nonzero) digits is 13824, while the sum is 31.

Adding to 2133144410341 its reverse (1430144413312), we get a palindrome (3563288823653).

The spelling of 2133144410341 in words is "two trillion, one hundred thirty-three billion, one hundred forty-four million, four hundred ten thousand, three hundred forty-one".

Divisors: 1 7 19 31 79 133 179 217 553 589 1253 1501 2449 3401 4123 5549 10507 14141 17143 23807 36587 38843 46531 98987 105431 256109 268679 325717 438371 695153 738017 1134197 1880753 2890373 3068597 4866071 6549073 7939379 8329049 20232611 21549743 45843511 54917087 58303343 89601563 124432387 150848201 203021263 384419609 517376767 627210941 871026709 1421148841 1702429697 3621637369 3857403997 9830158573 11917007879 16038679777 27001827979 68811110011 112270758439 304734915763 2133144410341