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1322310000 = 24354114007
BaseRepresentation
bin100111011010000…
…1101100101110000
310102011011022022110
41032310031211300
510202002410000
6335113405320
744524310124
oct11664154560
93364138273
101322310000
11619456090
1230aa09840
13180c4996b
14c788b584
157b14a850
hex4ed0d970

1322310000 has 200 divisors, whose sum is σ = 4657809024. Its totient is φ = 320480000.

The previous prime is 1322309969. The next prime is 1322310023. The reversal of 1322310000 is 132231.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (200).

It is a super-2 number, since 2×13223100002 = 3497007472200000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 327997 + ... + 332003.

Almost surely, 21322310000 is an apocalyptic number.

1322310000 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 1322310000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2328904512).

1322310000 is an abundant number, since it is smaller than the sum of its proper divisors (3335499024).

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

1322310000 is a wasteful number, since it uses less digits than its factorization.

1322310000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4049 (or 4028 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 1322310000 is about 36363.5806817756. The cubic root of 1322310000 is about 1097.6008316752.

Adding to 1322310000 its reverse (132231), we get a palindrome (1322442231).

Multiplying 1322310000 by its reverse (132231), we get a square (174850373610000 = 132231002).

1322310000 divided by its reverse (132231) gives a 4-th power (10000 = 104).

It can be divided in two parts, 132 and 2310000, that added together give a palindrome (2310132).

The spelling of 1322310000 in words is "one billion, three hundred twenty-two million, three hundred ten thousand".