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1012320000 = 2832541937
BaseRepresentation
bin111100010101101…
…100011100000000
32121112212011222100
4330111230130000
54033123220000
6244241310400
734041402156
oct7425543400
92545764870
101012320000
1147a478aaa
12243035400
13131961a23
14986373d6
155dd16a00
hex3c56c700

1012320000 has 540 divisors, whose sum is σ = 3943019080. Its totient is φ = 248832000.

The previous prime is 1012319977. The next prime is 1012320011. The reversal of 1012320000 is 232101.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

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 59 ways as a sum of consecutive naturals, for example, 27359982 + ... + 27360018.

Almost surely, 21012320000 is an apocalyptic number.

1012320000 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 1012320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1971509540).

1012320000 is an abundant number, since it is smaller than the sum of its proper divisors (2930699080).

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

1012320000 is an equidigital number, since it uses as much as digits as its factorization.

1012320000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 1012320000 is about 31816.9766005508. The cubic root of 1012320000 is about 1004.0899164456.

Adding to 1012320000 its reverse (232101), we get a palindrome (1012552101).

The spelling of 1012320000 in words is "one billion, twelve million, three hundred twenty thousand".