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2000312000 = 2653614099
BaseRepresentation
bin111011100111010…
…0101011011000000
312011101221101012122
41313032211123000
513044034441000
6530253343412
7100366241261
oct16716453300
95141841178
102000312000
11937140015
12479a97b68
1325b55638b
1414d93a968
15ba925085
hex773a56c0

2000312000 has 112 divisors (see below), whose sum is σ = 5036210400. Its totient is φ = 786816000.

The previous prime is 2000311991. The next prime is 2000312003. The reversal of 2000312000 is 2130002.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is not an unprimeable number, because it can be changed into a prime (2000312003) 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, 485951 + ... + 490049.

Almost surely, 22000312000 is an apocalyptic number.

2000312000 is a gapful number since it is divisible by the number (20) 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 2000312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2518105200).

2000312000 is an abundant number, since it is smaller than the sum of its proper divisors (3035898400).

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

2000312000 is an equidigital number, since it uses as much as digits as its factorization.

2000312000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4187 (or 4167 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 8.

The square root of 2000312000 is about 44724.8476800089. The cubic root of 2000312000 is about 1259.9865623829.

Adding to 2000312000 its reverse (2130002), we get a palindrome (2002442002).

The spelling of 2000312000 in words is "two billion, three hundred twelve thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 61 64 80 100 122 125 160 200 244 250 305 320 400 488 500 610 800 976 1000 1220 1525 1600 1952 2000 2440 3050 3904 4000 4099 4880 6100 7625 8000 8198 9760 12200 15250 16396 19520 20495 24400 30500 32792 40990 48800 61000 65584 81980 97600 102475 122000 131168 163960 204950 244000 250039 262336 327920 409900 488000 500078 512375 655840 819800 1000156 1024750 1250195 1311680 1639600 2000312 2049500 2500390 3279200 4000624 4099000 5000780 6250975 6558400 8001248 8198000 10001560 12501950 16002496 16396000 20003120 25003900 31254875 32792000 40006240 50007800 62509750 80012480 100015600 125019500 200031200 250039000 400062400 500078000 1000156000 2000312000