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2010212000 = 2553502553
BaseRepresentation
bin111011111010001…
…0110011010100000
312012002120100110022
41313310112122200
513104103241000
6531245453012
7100546343246
oct16764263240
95162510408
102010212000
11941792035
12481271168
13260611574
14150d96796
15bb72d585
hex77d166a0

2010212000 has 48 divisors (see below), whose sum is σ = 4939100712. Its totient is φ = 804083200.

The previous prime is 2010211999. The next prime is 2010212003. The reversal of 2010212000 is 2120102.

It can be written as a sum of positive squares in 4 ways, for example, as 1217451664 + 792760336 = 34892^2 + 28156^2 .

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 (2010212003) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 247277 + ... + 255276.

Almost surely, 22010212000 is an apocalyptic number.

2010212000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2010212000 is an abundant number, since it is smaller than the sum of its proper divisors (2928888712).

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

2010212000 is an equidigital number, since it uses as much as digits as its factorization.

2010212000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 502578 (or 502560 counting only the distinct ones).

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

The square root of 2010212000 is about 44835.3878091848. The cubic root of 2010212000 is about 1262.0617960955.

Adding to 2010212000 its reverse (2120102), we get a palindrome (2012332102).

The spelling of 2010212000 in words is "two billion, ten million, two hundred twelve thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 800 1000 2000 4000 502553 1005106 2010212 2512765 4020424 5025530 8040848 10051060 12563825 16081696 20102120 25127650 40204240 50255300 62819125 80408480 100510600 125638250 201021200 251276500 402042400 502553000 1005106000 2010212000