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1322300120 = 235179720047
BaseRepresentation
bin100111011010000…
…1011001011011000
310102011010210202112
41032310023023120
510202002100440
6335113251452
744524236251
oct11664131330
93364123675
101322300120
11619449719
1230aa03b88
13180c4530b
14c7887b28
157b147965
hex4ed0b2d8

1322300120 has 64 divisors (see below), whose sum is σ = 3182820480. Its totient is φ = 492650496.

The previous prime is 1322300093. The next prime is 1322300129. The reversal of 1322300120 is 210032231.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1322300095 and 1322300104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1322300129) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 55937 + ... + 75983.

It is an arithmetic number, because the mean of its divisors is an integer number (49731570).

Almost surely, 21322300120 is an apocalyptic number.

1322300120 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 1322300120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1591410240).

1322300120 is an abundant number, since it is smaller than the sum of its proper divisors (1860520360).

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

1322300120 is a wasteful number, since it uses less digits than its factorization.

1322300120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20172 (or 20168 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 1322300120 is about 36363.4448313138. Note that the first 3 decimals coincide. The cubic root of 1322300120 is about 1097.5980979937.

Adding to 1322300120 its reverse (210032231), we get a palindrome (1532332351).

The spelling of 1322300120 in words is "one billion, three hundred twenty-two million, three hundred thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 97 136 170 194 340 388 485 680 776 970 1649 1940 3298 3880 6596 8245 13192 16490 20047 32980 40094 65960 80188 100235 160376 200470 340799 400940 681598 801880 1363196 1703995 1944559 2726392 3407990 3889118 6815980 7778236 9722795 13631960 15556472 19445590 33057503 38891180 66115006 77782360 132230012 165287515 264460024 330575030 661150060 1322300120