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1010242424133 = 3617203939979
BaseRepresentation
bin11101011001101110010…
…01000000110101000101
310120120121112100111000000
432230313021000311011
5113022434030033013
62052033213111513
7132662514630615
oct16546711006505
93516545314000
101010242424133
1135a494569828
12143960188599
137435b275337
1436c78872a45
151b42aa5d973
hexeb37240d45

1010242424133 has 56 divisors (see below), whose sum is σ = 1604595700800. Its totient is φ = 633550875264.

The previous prime is 1010242424131. The next prime is 1010242424159. The reversal of 1010242424133 is 3314242420101.

1010242424133 is a `hidden beast` number, since 1 + 0 + 1 + 0 + 2 + 4 + 242 + 413 + 3 = 666.

It is not a de Polignac number, because 1010242424133 - 21 = 1010242424131 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 1010242424097 and 1010242424106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1010242424131) 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 55 ways as a sum of consecutive naturals, for example, 25249338 + ... + 25289316.

Almost surely, 21010242424133 is an apocalyptic number.

It is an amenable number.

1010242424133 is a deficient number, since it is larger than the sum of its proper divisors (594353276667).

1010242424133 is an equidigital number, since it uses as much as digits as its factorization.

1010242424133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42053 (or 42038 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 1010242424133 its reverse (3314242420101), we get a palindrome (4324484844234).

The spelling of 1010242424133 in words is "one trillion, ten billion, two hundred forty-two million, four hundred twenty-four thousand, one hundred thirty-three".

Divisors: 1 3 9 17 27 51 81 153 243 459 729 1377 2039 4131 6117 12393 18351 34663 39979 55053 103989 119937 165159 311967 359811 495477 679643 935901 1079433 1486431 2038929 2807703 3238299 6116787 8423109 9714897 18350361 25269327 29144691 55051083 81517181 165153249 244551543 495459747 733654629 1385792077 2200963887 4157376231 6602891661 12472128693 19808674983 37416386079 59426024949 112249158237 336747474711 1010242424133