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1053070054137 = 3243263281657
BaseRepresentation
bin11110101001011111101…
…11011101001011111001
310201200011021002111122200
433110233313131023321
5114223141413213022
62123435041540413
7136040025524643
oct17245767351371
93650137074580
101053070054137
11376671657072
12150113044709
13783c50aa13a
1438d7c7b7893
151c5d58dbbac
hexf52fddd2f9

1053070054137 has 18 divisors (see below), whose sum is σ = 1557298321722. Its totient is φ = 685720024416.

The previous prime is 1053070054133. The next prime is 1053070054237. The reversal of 1053070054137 is 7314500703501.

1053070054137 is a `hidden beast` number, since 1 + 0 + 530 + 70 + 0 + 54 + 1 + 3 + 7 = 666.

It can be written as a sum of positive squares in only one way, i.e., 686095799481 + 366974254656 = 828309^2 + 605784^2 .

It is not a de Polignac number, because 1053070054137 - 22 = 1053070054133 is a prime.

It is a super-2 number, since 2×10530700541372 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1053070054133) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 31624188 + ... + 31657469.

It is an arithmetic number, because the mean of its divisors is an integer number (86516573429).

Almost surely, 21053070054137 is an apocalyptic number.

It is an amenable number.

1053070054137 is a deficient number, since it is larger than the sum of its proper divisors (504228267585).

1053070054137 is an equidigital number, since it uses as much as digits as its factorization.

1053070054137 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63281749 (or 63281703 counting only the distinct ones).

The product of its (nonzero) digits is 44100, while the sum is 36.

Adding to 1053070054137 its reverse (7314500703501), we get a palindrome (8367570757638).

The spelling of 1053070054137 in words is "one trillion, fifty-three billion, seventy million, fifty-four thousand, one hundred thirty-seven".

Divisors: 1 3 9 43 129 387 1849 5547 16641 63281657 189844971 569534913 2721111251 8163333753 24490001259 117007783793 351023351379 1053070054137