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10242440401 = 101269337657
BaseRepresentation
bin10011000100111111…
…10011110011010001
3222102210221212211111
421202133303303101
5131434031043101
64412203013321
7511550210164
oct114237636321
928383855744
1010242440401
114386655086
121b9a20a241
13c72cb402b
146d2431adb
153ee2ec251
hex2627f3cd1

10242440401 has 8 divisors (see below), whose sum is σ = 10347966504. Its totient is φ = 10136995200.

The previous prime is 10242440389. The next prime is 10242440413. The reversal of 10242440401 is 10404424201.

It is an interprime number because it is at equal distance from previous prime (10242440389) and next prime (10242440413).

It can be written as a sum of positive squares in 4 ways, for example, as 5317909776 + 4924530625 = 72924^2 + 70175^2 .

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 10242440401 - 221 = 10240343249 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10242440471) 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 7 ways as a sum of consecutive naturals, for example, 253165 + ... + 290821.

It is an arithmetic number, because the mean of its divisors is an integer number (1293495813).

Almost surely, 210242440401 is an apocalyptic number.

It is an amenable number.

10242440401 is a deficient number, since it is larger than the sum of its proper divisors (105526103).

10242440401 is a wasteful number, since it uses less digits than its factorization.

10242440401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40451.

The product of its (nonzero) digits is 1024, while the sum is 22.

Adding to 10242440401 its reverse (10404424201), we get a palindrome (20646864602).

The spelling of 10242440401 in words is "ten billion, two hundred forty-two million, four hundred forty thousand, four hundred one".

Divisors: 1 101 2693 37657 271993 3803357 101410301 10242440401