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10338101320 = 235258452533
BaseRepresentation
bin10011010000011001…
…01110100001001000
3222200110221221221111
421220030232201020
5132133023220240
64425501220104
7514121261041
oct115014564110
928613857844
1010338101320
114425652598
122006261634
13c89a68821
147010138c8
154078e61ea
hex26832e848

10338101320 has 16 divisors (see below), whose sum is σ = 23260728060. Its totient is φ = 4135240512.

The previous prime is 10338101299. The next prime is 10338101321. The reversal of 10338101320 is 2310183301.

It can be written as a sum of positive squares in 2 ways, for example, as 10335975556 + 2125764 = 101666^2 + 1458^2 .

It is a junction number, because it is equal to n+sod(n) for n = 10338101291 and 10338101300.

It is not an unprimeable number, because it can be changed into a prime (10338101321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 129226227 + ... + 129226306.

Almost surely, 210338101320 is an apocalyptic number.

10338101320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10338101320 is an abundant number, since it is smaller than the sum of its proper divisors (12922626740).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10338101320 is a wasteful number, since it uses less digits than its factorization.

10338101320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258452544 (or 258452540 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

Adding to 10338101320 its reverse (2310183301), we get a palindrome (12648284621).

The spelling of 10338101320 in words is "ten billion, three hundred thirty-eight million, one hundred one thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 258452533 516905066 1033810132 1292262665 2067620264 2584525330 5169050660 10338101320