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10142141413 = 66175720269
BaseRepresentation
bin10010111001000010…
…01100101111100101
3222011211020011111011
421130201030233211
5131232342011123
64354221142221
7506221531255
oct113441145745
928154204434
1010142141413
114334a79a58
121b706ba971
13c58297411
146c2da3965
153e55d8e0d
hex25c84cbe5

10142141413 has 8 divisors (see below), whose sum is σ = 10171404920. Its totient is φ = 10112921280.

The previous prime is 10142141411. The next prime is 10142141417. The reversal of 10142141413 is 31414124101.

10142141413 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 4 ways, for example, as 4749001569 + 5393139844 = 68913^2 + 73438^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10142141413 - 21 = 10142141411 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 (10142141411) 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 7 ways as a sum of consecutive naturals, for example, 490243 + ... + 510511.

It is an arithmetic number, because the mean of its divisors is an integer number (1271425615).

Almost surely, 210142141413 is an apocalyptic number.

It is an amenable number.

10142141413 is a deficient number, since it is larger than the sum of its proper divisors (29263507).

10142141413 is an equidigital number, since it uses as much as digits as its factorization.

10142141413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21687.

The product of its (nonzero) digits is 384, while the sum is 22.

Adding to 10142141413 its reverse (31414124101), we get a palindrome (41556265514).

The spelling of 10142141413 in words is "ten billion, one hundred forty-two million, one hundred forty-one thousand, four hundred thirteen".

Divisors: 1 661 757 20269 500377 13397809 15343633 10142141413