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1320100000 = 255543307
BaseRepresentation
bin100111010101111…
…0010000010100000
310102000000000202121
41032223302002200
510200421200000
6334554154024
744466444022
oct11653620240
93360000677
101320100000
1161818673a
1230a122914
13180654a7b
14c7474012
157ad60b1a
hex4eaf20a0

1320100000 has 144 divisors (see below), whose sum is σ = 3334849056. Its totient is φ = 514080000.

The previous prime is 1320099971. The next prime is 1320100003. The reversal of 1320100000 is 10231.

It is not an unprimeable number, because it can be changed into a prime (1320100003) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 4299847 + ... + 4300153.

It is an arithmetic number, because the mean of its divisors is an integer number (23158674).

Almost surely, 21320100000 is an apocalyptic number.

1320100000 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 1320100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1667424528).

1320100000 is an abundant number, since it is smaller than the sum of its proper divisors (2014749056).

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

1320100000 is an frugal number, since it uses more digits than its factorization.

1320100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 385 (or 357 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 7.

The square root of 1320100000 is about 36333.1804278128. The cubic root of 1320100000 is about 1096.9890108302.

Adding to 1320100000 its reverse (10231), we get a palindrome (1320110231).

The spelling of 1320100000 in words is "one billion, three hundred twenty million, one hundred thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 43 50 80 86 100 125 160 172 200 215 250 307 344 400 430 500 614 625 688 800 860 1000 1075 1228 1250 1376 1535 1720 2000 2150 2456 2500 3070 3125 3440 4000 4300 4912 5000 5375 6140 6250 6880 7675 8600 9824 10000 10750 12280 12500 13201 15350 17200 20000 21500 24560 25000 26402 26875 30700 34400 38375 43000 49120 50000 52804 53750 61400 66005 76750 86000 100000 105608 107500 122800 132010 134375 153500 172000 191875 211216 215000 245600 264020 268750 307000 330025 383750 422432 430000 528040 537500 614000 660050 767500 860000 959375 1056080 1075000 1228000 1320100 1535000 1650125 1918750 2112160 2150000 2640200 3070000 3300250 3837500 4300000 5280400 6140000 6600500 7675000 8250625 10560800 13201000 15350000 16501250 26402000 30700000 33002500 41253125 52804000 66005000 82506250 132010000 165012500 264020000 330025000 660050000 1320100000