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210314003213000 = 2353375684162249
BaseRepresentation
bin101111110100011110001011…
…011100111110101011001000
31000120122211012111022021010102
4233310132023130332223020
5210031241034310304000
62023144530321104532
762204454026154401
oct5764361334765310
91016584174267112
10210314003213000
1161015738a36875
121b70831a188148
1390476aa40b44b
1439d13759669a8
15194ab3ac0b3d5
hexbf478b73eac8

210314003213000 has 64 divisors (see below), whose sum is σ = 505435707270000. Its totient is φ = 81851936371200.

The previous prime is 210314003212967. The next prime is 210314003213011. The reversal of 210314003213000 is 312300413012.

It can be written as a sum of positive squares in 8 ways, for example, as 7967759489284 + 202346243723716 = 2822722^2 + 14224846^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2842044125 + ... + 2842118124.

Almost surely, 2210314003213000 is an apocalyptic number.

210314003213000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

210314003213000 is an abundant number, since it is smaller than the sum of its proper divisors (295121704057000).

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

210314003213000 is a wasteful number, since it uses less digits than its factorization.

210314003213000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5684162307 (or 5684162293 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 210314003213000 its reverse (312300413012), we get a palindrome (210626303626012).

The spelling of 210314003213000 in words is "two hundred ten trillion, three hundred fourteen billion, three million, two hundred thirteen thousand".

Divisors: 1 2 4 5 8 10 20 25 37 40 50 74 100 125 148 185 200 250 296 370 500 740 925 1000 1480 1850 3700 4625 7400 9250 18500 37000 5684162249 11368324498 22736648996 28420811245 45473297992 56841622490 113683244980 142104056225 210314003213 227366489960 284208112450 420628006426 568416224900 710520281125 841256012852 1051570016065 1136832449800 1421040562250 1682512025704 2103140032130 2842081124500 4206280064260 5257850080325 5684162249000 8412560128520 10515700160650 21031400321300 26289250401625 42062800642600 52578500803250 105157001606500 210314003213000