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1321230000 = 2435444041
BaseRepresentation
bin100111011000000…
…0101111010110000
310102002010102211110
41032300011322300
510201213330000
6335034313320
744512161336
oct11660057260
93362112743
101321230000
11618888722
1230a588840
1318095c1cc
14c7689b56
157aed5850
hex4ec05eb0

1321230000 has 100 divisors (see below), whose sum is σ = 4265203448. Its totient is φ = 352320000.

The previous prime is 1321229989. The next prime is 1321230007. The reversal of 1321230000 is 321231.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (100).

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

It is not an unprimeable number, because it can be changed into a prime (1321230007) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 7980 + ... + 52020.

Almost surely, 21321230000 is an apocalyptic number.

1321230000 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 1321230000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2132601724).

1321230000 is an abundant number, since it is smaller than the sum of its proper divisors (2943973448).

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

1321230000 is an equidigital number, since it uses as much as digits as its factorization.

1321230000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44072 (or 44051 counting only the distinct ones).

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

The square root of 1321230000 is about 36348.7276255992. The cubic root of 1321230000 is about 1097.3019275420.

Adding to 1321230000 its reverse (321231), we get a palindrome (1321551231).

The spelling of 1321230000 in words is "one billion, three hundred twenty-one million, two hundred thirty thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 200 240 250 300 375 400 500 600 625 750 1000 1200 1250 1500 1875 2000 2500 3000 3750 5000 6000 7500 10000 15000 30000 44041 88082 132123 176164 220205 264246 352328 440410 528492 660615 704656 880820 1056984 1101025 1321230 1761640 2113968 2202050 2642460 3303075 3523280 4404100 5284920 5505125 6606150 8808200 10569840 11010250 13212300 16515375 17616400 22020500 26424600 27525625 33030750 44041000 52849200 55051250 66061500 82576875 88082000 110102500 132123000 165153750 220205000 264246000 330307500 440410000 660615000 1321230000