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10445444331 = 37775764123
BaseRepresentation
bin10011011101001100…
…01101010011101011
3222221221221112212120
421232212031103223
5132343013204311
64444254042323
7516563545320
oct115646152353
928857845776
1010445444331
1144801a9a23
1220361a93a3
13ca60806ba
14711396b47
1541204b706
hex26e98d4eb

10445444331 has 16 divisors (see below), whose sum is σ = 15919167744. Its totient is φ = 5967962784.

The previous prime is 10445444323. The next prime is 10445444333. The reversal of 10445444331 is 13344454401.

It is not a de Polignac number, because 10445444331 - 23 = 10445444323 is a prime.

It is a super-2 number, since 2×104454443312 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10445444292 and 10445444301.

It is not an unprimeable number, because it can be changed into a prime (10445444333) 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 15 ways as a sum of consecutive naturals, for example, 130836 + ... + 194958.

It is an arithmetic number, because the mean of its divisors is an integer number (994947984).

Almost surely, 210445444331 is an apocalyptic number.

10445444331 is a deficient number, since it is larger than the sum of its proper divisors (5473723413).

10445444331 is an equidigital number, since it uses as much as digits as its factorization.

10445444331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71890.

The product of its (nonzero) digits is 46080, while the sum is 33.

Adding to 10445444331 its reverse (13344454401), we get a palindrome (23789898732).

It can be divided in two parts, 104454 and 44331, that added together give a triangular number (148785 = T545).

The spelling of 10445444331 in words is "ten billion, four hundred forty-five million, four hundred forty-four thousand, three hundred thirty-one".

Divisors: 1 3 7 21 7757 23271 54299 64123 162897 192369 448861 1346583 497402111 1492206333 3481814777 10445444331