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10343132320 = 255415371419
BaseRepresentation
bin10011010000111111…
…11010110010100000
3222200211102120011211
421220133322302200
5132140320213240
64430201115504
7514212113503
oct115037726240
928624376154
1010343132320
114428479444
122007a88b94
13c8ab0a751
1470196313a
1540808bbea
hex2687faca0

10343132320 has 192 divisors, whose sum is σ = 25924872960. Its totient is φ = 3895091200.

The previous prime is 10343132311. The next prime is 10343132321. The reversal of 10343132320 is 2323134301.

10343132320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 10343132291 and 10343132300.

It is not an unprimeable number, because it can be changed into a prime (10343132321) 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 31 ways as a sum of consecutive naturals, for example, 24685071 + ... + 24685489.

It is an arithmetic number, because the mean of its divisors is an integer number (135025380).

Almost surely, 210343132320 is an apocalyptic number.

10343132320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10343132320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12962436480).

10343132320 is an abundant number, since it is smaller than the sum of its proper divisors (15581740640).

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

10343132320 is a wasteful number, since it uses less digits than its factorization.

10343132320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 599 (or 591 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 22.

Adding to 10343132320 its reverse (2323134301), we get a palindrome (12666266621).

The spelling of 10343132320 in words is "ten billion, three hundred forty-three million, one hundred thirty-two thousand, three hundred twenty".