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212011210000 = 245421201121
BaseRepresentation
bin1100010101110011011…
…0100101010100010000
3202021020102111101002001
43011130312211110100
511433144332210000
6241221400003344
721213556356652
oct3053466452420
9667212441061
10212011210000
1181a0588a037
123510a160554
1316cb98aa225
14a3933ba6d2
1557acbab46a
hex315cda5510

212011210000 has 50 divisors (see below), whose sum is σ = 513300364742. Its totient is φ = 84804480000.

The previous prime is 212011209997. The next prime is 212011210007. The reversal of 212011210000 is 12110212.

It can be written as a sum of positive squares in 5 ways, for example, as 139134968064 + 72876241936 = 373008^2 + 269956^2 .

It is a tau number, because it is divible by the number of its divisors (50).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (212011210007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 10590561 + ... + 10610560.

Almost surely, 2212011210000 is an apocalyptic number.

212011210000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212011210000 is an abundant number, since it is smaller than the sum of its proper divisors (301289154742).

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

212011210000 is an equidigital number, since it uses as much as digits as its factorization.

212011210000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21201149 (or 21201128 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 212011210000 its reverse (12110212), we get a palindrome (212023320212).

The spelling of 212011210000 in words is "two hundred twelve billion, eleven million, two hundred ten thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 625 1000 1250 2000 2500 5000 10000 21201121 42402242 84804484 106005605 169608968 212011210 339217936 424022420 530028025 848044840 1060056050 1696089680 2120112100 2650140125 4240224200 5300280250 8480448400 10600560500 13250700625 21201121000 26501401250 42402242000 53002802500 106005605000 212011210000