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10254154331133 = 322692142321997
BaseRepresentation
bin1001010100110111101100…
…1110011111001111111101
31100022021202122102222220200
42111031323032133033331
52321001002002044013
633450405442234113
72105560334456526
oct225157316371775
940267678388820
1010254154331133
1132a3842881789
1211973a7655939
13594c68ac31cb
1427643758984d
1512bb02819e73
hex9537b39f3fd

10254154331133 has 12 divisors (see below), whose sum is σ = 14812106792028. Its totient is φ = 6835848793920.

The previous prime is 10254154331089. The next prime is 10254154331149. The reversal of 10254154331133 is 33113345145201.

10254154331133 is a `hidden beast` number, since 1 + 0 + 2 + 54 + 1 + 543 + 31 + 1 + 33 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 6788458288089 + 3465696043044 = 2605467^2 + 1861638^2 .

It is not a de Polignac number, because 10254154331133 - 221 = 10254152233981 is a prime.

It is a super-2 number, since 2×102541543311332 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10254154331933) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20918710 + ... + 21403287.

It is an arithmetic number, because the mean of its divisors is an integer number (1234342232669).

Almost surely, 210254154331133 is an apocalyptic number.

It is an amenable number.

10254154331133 is a deficient number, since it is larger than the sum of its proper divisors (4557952460895).

10254154331133 is a wasteful number, since it uses less digits than its factorization.

10254154331133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42348924 (or 42348921 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

Adding to 10254154331133 its reverse (33113345145201), we get a palindrome (43367499476334).

The spelling of 10254154331133 in words is "ten trillion, two hundred fifty-four billion, one hundred fifty-four million, three hundred thirty-one thousand, one hundred thirty-three".

Divisors: 1 3 9 26921 80763 242289 42321997 126965991 380897973 1139350481237 3418051443711 10254154331133