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10041440121 = 321115715569
BaseRepresentation
bin10010101101000010…
…00011011101111001
3221220210202000021200
421112201003131321
5131031102040441
64340222524413
7503556555426
oct112641033571
927823660250
1010041440121
114293149649
121b42a36709
13c4046965b
146b386cd4d
153db8467b6
hex256843779

10041440121 has 6 divisors (see below), whose sum is σ = 14504302410. Its totient is φ = 6694293408.

The previous prime is 10041440111. The next prime is 10041440141. The reversal of 10041440121 is 12104414001.

10041440121 is a `hidden beast` number, since 100 + 4 + 1 + 440 + 121 = 666.

10041440121 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 8817210000 + 1224230121 = 93900^2 + 34989^2 .

It is not a de Polignac number, because 10041440121 - 211 = 10041438073 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10041440094 and 10041440103.

It is not an unprimeable number, because it can be changed into a prime (10041440111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 557857776 + ... + 557857793.

It is an arithmetic number, because the mean of its divisors is an integer number (2417383735).

Almost surely, 210041440121 is an apocalyptic number.

It is an amenable number.

10041440121 is a deficient number, since it is larger than the sum of its proper divisors (4462862289).

10041440121 is a wasteful number, since it uses less digits than its factorization.

10041440121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1115715575 (or 1115715572 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 10041440121 its reverse (12104414001), we get a palindrome (22145854122).

The spelling of 10041440121 in words is "ten billion, forty-one million, four hundred forty thousand, one hundred twenty-one".

Divisors: 1 3 9 1115715569 3347146707 10041440121