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10042403241 = 3131913552501
BaseRepresentation
bin10010101101001001…
…01110100110101001
3221220212112221102210
421112210232212221
5131031323400431
64340255315333
7503601006363
oct112644564651
927825487383
1010042403241
114293747212
121b4321bb49
13c40715b50
146b3a3dd33
153db986d46
hex25692e9a9

10042403241 has 16 divisors (see below), whose sum is σ = 15178802240. Its totient is φ = 5854680000.

The previous prime is 10042403237. The next prime is 10042403249. The reversal of 10042403241 is 14230424001.

10042403241 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10042403241 - 22 = 10042403237 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10042403249) 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 15 ways as a sum of consecutive naturals, for example, 6775510 + ... + 6776991.

It is an arithmetic number, because the mean of its divisors is an integer number (948675140).

Almost surely, 210042403241 is an apocalyptic number.

It is an amenable number.

10042403241 is a deficient number, since it is larger than the sum of its proper divisors (5136398999).

10042403241 is a wasteful number, since it uses less digits than its factorization.

10042403241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13552536.

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 10042403241 its reverse (14230424001), we get a palindrome (24272827242).

The spelling of 10042403241 in words is "ten billion, forty-two million, four hundred three thousand, two hundred forty-one".

Divisors: 1 3 13 19 39 57 247 741 13552501 40657503 176182513 257497519 528547539 772492557 3347467747 10042403241