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10434410431 is a prime number
BaseRepresentation
bin10011011011111000…
…00111011110111111
3222221012011222012121
421231330013132333
5132332202113211
64443221343411
7516401011444
oct115574073677
928835158177
1010434410431
114474a52aa5
122032567b67
13ca39b9373
1470db239cb
154110bc271
hex26df077bf

10434410431 has 2 divisors, whose sum is σ = 10434410432. Its totient is φ = 10434410430.

The previous prime is 10434410407. The next prime is 10434410447. The reversal of 10434410431 is 13401443401.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 10434410431 - 27 = 10434410303 is a prime.

It is a super-2 number, since 2×104344104312 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10434410396 and 10434410405.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10434410461) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5217205215 + 5217205216.

It is an arithmetic number, because the mean of its divisors is an integer number (5217205216).

Almost surely, 210434410431 is an apocalyptic number.

10434410431 is a deficient number, since it is larger than the sum of its proper divisors (1).

10434410431 is an equidigital number, since it uses as much as digits as its factorization.

10434410431 is an odious number, because the sum of its binary digits is odd.

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

Adding to 10434410431 its reverse (13401443401), we get a palindrome (23835853832).

The spelling of 10434410431 in words is "ten billion, four hundred thirty-four million, four hundred ten thousand, four hundred thirty-one".