Search a number
-
+
10424132431 = 19836610103
BaseRepresentation
bin10011011010101001…
…11010001101001111
3222220110211210102221
421231110322031033
5132322034214211
64442213200211
7516214443436
oct115524721517
928813753387
1010424132431
11446a172a89
12202b030067
13ca182b0cb
1470c60a11d
1541023bc71
hex26d53a34f

10424132431 has 8 divisors (see below), whose sum is σ = 11104974720. Its totient is φ = 9756510552.

The previous prime is 10424132429. The next prime is 10424132443. The reversal of 10424132431 is 13423142401.

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 10424132431 - 21 = 10424132429 is a prime.

It is a super-2 number, since 2×104241324312 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10424132396 and 10424132405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10424135431) 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, 3303475 + ... + 3306628.

It is an arithmetic number, because the mean of its divisors is an integer number (1388121840).

Almost surely, 210424132431 is an apocalyptic number.

10424132431 is a deficient number, since it is larger than the sum of its proper divisors (680842289).

10424132431 is an equidigital number, since it uses as much as digits as its factorization.

10424132431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6610205.

The product of its (nonzero) digits is 2304, while the sum is 25.

Adding to 10424132431 its reverse (13423142401), we get a palindrome (23847274832).

The spelling of 10424132431 in words is "ten billion, four hundred twenty-four million, one hundred thirty-two thousand, four hundred thirty-one".

Divisors: 1 19 83 1577 6610103 125591957 548638549 10424132431