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10224123431 is a prime number
BaseRepresentation
bin10011000010110011…
…11011111000100111
3222101112111021200012
421201121323320213
5131414333422211
64410310240435
7511235421014
oct114131737047
928345437605
1010224123431
114377284295
121b9405611b
13c6c26c9a2
146cdc2470b
153ec8ced8b
hex26167be27

10224123431 has 2 divisors, whose sum is σ = 10224123432. Its totient is φ = 10224123430.

The previous prime is 10224123397. The next prime is 10224123463. The reversal of 10224123431 is 13432142201.

It is a strong prime.

It is an emirp because it is prime and its reverse (13432142201) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10224123431 is a prime.

It is a super-2 number, since 2×102241234312 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10224123397 and 10224123406.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10224123031) 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 as a sum of consecutive naturals, namely, 5112061715 + 5112061716.

It is an arithmetic number, because the mean of its divisors is an integer number (5112061716).

Almost surely, 210224123431 is an apocalyptic number.

10224123431 is a deficient number, since it is larger than the sum of its proper divisors (1).

10224123431 is an equidigital number, since it uses as much as digits as its factorization.

10224123431 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1152, while the sum is 23.

Adding to 10224123431 its reverse (13432142201), we get a palindrome (23656265632).

The spelling of 10224123431 in words is "ten billion, two hundred twenty-four million, one hundred twenty-three thousand, four hundred thirty-one".