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10332000000 = 283256741
BaseRepresentation
bin10011001111101010…
…11100111100000000
3222200001110222111200
421213311130330000
5132124443000000
64425122341200
7514015356660
oct114765347400
928601428450
1010332000000
114422165583
1220041ba800
13c8871068a
147002a61a0
154070dd500
hex267d5cf00

10332000000 has 756 divisors, whose sum is σ = 43594129488. Its totient is φ = 2304000000.

The previous prime is 10331999983. The next prime is 10332000001. The reversal of 10332000000 is 23301.

It is a happy number.

10332000000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10332000001) 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 83 ways as a sum of consecutive naturals, for example, 251999980 + ... + 252000020.

Almost surely, 210332000000 is an apocalyptic number.

10332000000 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 10332000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21797064744).

10332000000 is an abundant number, since it is smaller than the sum of its proper divisors (33262129488).

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

10332000000 is an frugal number, since it uses more digits than its factorization.

10332000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 9.

Adding to 10332000000 its reverse (23301), we get a palindrome (10332023301).

The spelling of 10332000000 in words is "ten billion, three hundred thirty-two million", and thus it is an aban number.