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10385444281 = 101210092
BaseRepresentation
bin10011010110000010…
…10100110110111001
3222210210001020021111
421223001110312321
5132232133204111
64434312040321
7515234551132
oct115301246671
928723036244
1010385444281
11444a349003
12201a0930a1
13c96803704
14707418c89
1540bb48a21
hex26b054db9

10385444281 has 9 divisors (see below), whose sum is σ = 10499694573. Its totient is φ = 10272427200.

The previous prime is 10385444257. The next prime is 10385444297. The reversal of 10385444281 is 18244458301.

The square root of 10385444281 is 101909.

It is a perfect power (a square), and thus also a powerful number.

10385444281 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 1485408681 + 8900035600 = 38541^2 + 94340^2 .

It is a de Polignac number, because none of the positive numbers 2k-10385444281 is a prime.

It is a super-2 number, since 2×103854442812 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10385444221) 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 in 8 ways as a sum of consecutive naturals, for example, 10292305 + ... + 10293313.

Almost surely, 210385444281 is an apocalyptic number.

10385444281 is the 101909-th square number.

10385444281 is the 50955-th centered octagonal number.

It is an amenable number.

10385444281 is a deficient number, since it is larger than the sum of its proper divisors (114250292).

10385444281 is an frugal number, since it uses more digits than its factorization.

10385444281 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2220 (or 1110 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 40.

The spelling of 10385444281 in words is "ten billion, three hundred eighty-five million, four hundred forty-four thousand, two hundred eighty-one".

Divisors: 1 101 1009 10201 101909 1018081 10292809 102826181 10385444281