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1213320000 = 2635410111
BaseRepresentation
bin100100001010001…
…1100101101000000
310010120002001010210
41020110130231000
54441102220000
6320221354120
742032023044
oct11024345500
93116061123
101213320000
11572984302
1229a408940
131644a9239
14b71da024
15717bc350
hex4851cb40

1213320000 has 140 divisors (see below), whose sum is σ = 4011915776. Its totient is φ = 323520000.

The previous prime is 1213319957. The next prime is 1213320007. The reversal of 1213320000 is 233121.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1213320007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 114945 + ... + 125055.

Almost surely, 21213320000 is an apocalyptic number.

1213320000 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 1213320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2005957888).

1213320000 is an abundant number, since it is smaller than the sum of its proper divisors (2798595776).

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

1213320000 is an equidigital number, since it uses as much as digits as its factorization.

1213320000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10146 (or 10121 counting only the distinct ones).

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

The square root of 1213320000 is about 34832.7432166920. The cubic root of 1213320000 is about 1066.5759471457.

Adding to 1213320000 its reverse (233121), we get a palindrome (1213553121).

The spelling of 1213320000 in words is "one billion, two hundred thirteen million, three hundred twenty thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 64 75 80 96 100 120 125 150 160 192 200 240 250 300 320 375 400 480 500 600 625 750 800 960 1000 1200 1250 1500 1600 1875 2000 2400 2500 3000 3750 4000 4800 5000 6000 7500 8000 10000 10111 12000 15000 20000 20222 24000 30000 30333 40000 40444 50555 60000 60666 80888 101110 120000 121332 151665 161776 202220 242664 252775 303330 323552 404440 485328 505550 606660 647104 758325 808880 970656 1011100 1213320 1263875 1516650 1617760 1941312 2022200 2426640 2527750 3033300 3235520 3791625 4044400 4853280 5055500 6066600 6319375 7583250 8088800 9706560 10111000 12133200 12638750 15166500 16177600 18958125 20222000 24266400 25277500 30333000 37916250 40444000 48532800 50555000 60666000 75832500 80888000 101110000 121332000 151665000 202220000 242664000 303330000 404440000 606660000 1213320000