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10310054141 = 176124414073
BaseRepresentation
bin10011001101000011…
…01111000011111101
3222121112012000110002
421212201233003331
5132103333213031
64423020124045
7513331004612
oct114641570375
928545160402
1010310054141
114410836302
121bb8996625
13c83cc866a
146db3d2509
15405205ccb
hex26686f0fd

10310054141 has 16 divisors (see below), whose sum is σ = 11102758128. Its totient is φ = 9538252800.

The previous prime is 10310054137. The next prime is 10310054147. The reversal of 10310054141 is 14145001301.

It is a happy number.

10310054141 is digitally balanced in base 3, 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 8 ways, for example, as 3428688025 + 6881366116 = 58555^2 + 82954^2 .

It is not a de Polignac number, because 10310054141 - 22 = 10310054137 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10310054147) 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 15 ways as a sum of consecutive naturals, for example, 2529281 + ... + 2533353.

It is an arithmetic number, because the mean of its divisors is an integer number (693922383).

Almost surely, 210310054141 is an apocalyptic number.

It is an amenable number.

10310054141 is a deficient number, since it is larger than the sum of its proper divisors (792703987).

10310054141 is a wasteful number, since it uses less digits than its factorization.

10310054141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6592.

The product of its (nonzero) digits is 240, while the sum is 20.

Adding to 10310054141 its reverse (14145001301), we get a palindrome (24455055442).

The spelling of 10310054141 in words is "ten billion, three hundred ten million, fifty-four thousand, one hundred forty-one".

Divisors: 1 17 61 1037 2441 4073 41497 69241 148901 248453 2531317 4223701 9942193 169017281 606473773 10310054141