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10444103431 is a prime number
BaseRepresentation
bin10011011101000010…
…00101111100000111
3222221212102102111121
421232201011330013
5132342142302211
64444205214411
7516546262066
oct115641057407
928855372447
1010444103431
11447a473543
122035861407
13ca5a01278
147111281dd
15411d84271
hex26e845f07

10444103431 has 2 divisors, whose sum is σ = 10444103432. Its totient is φ = 10444103430.

The previous prime is 10444103387. The next prime is 10444103441. The reversal of 10444103431 is 13430144401.

10444103431 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10444103431 is a prime.

It is a super-2 number, since 2×104441034312 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10444103396 and 10444103405.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10444103441) 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 as a sum of consecutive naturals, namely, 5222051715 + 5222051716.

It is an arithmetic number, because the mean of its divisors is an integer number (5222051716).

Almost surely, 210444103431 is an apocalyptic number.

10444103431 is a deficient number, since it is larger than the sum of its proper divisors (1).

10444103431 is an equidigital number, since it uses as much as digits as its factorization.

10444103431 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 10444103431 its reverse (13430144401), we get a palindrome (23874247832).

The spelling of 10444103431 in words is "ten billion, four hundred forty-four million, one hundred three thousand, four hundred thirty-one".