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201200212000 = 255350300053
BaseRepresentation
bin1011101101100001110…
…1111001100000100000
3201020022222200202211201
42323120131321200200
511244024223241000
6232232522450544
720351633404234
oct2733035714040
9636288622751
10201200212000
1178368302247
1232bb1663a54
1315c85b88ca8
149a496685c4
155378a0296a
hex2ed8779820

201200212000 has 48 divisors (see below), whose sum is σ = 494348930712. Its totient is φ = 80480083200.

The previous prime is 201200211997. The next prime is 201200212001. The reversal of 201200212000 is 212002102.

It can be written as a sum of positive squares in 4 ways, for example, as 98166915856 + 103033296144 = 313316^2 + 320988^2 .

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 (201200212001) 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, 25146027 + ... + 25154026.

Almost surely, 2201200212000 is an apocalyptic number.

201200212000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201200212000 is an abundant number, since it is smaller than the sum of its proper divisors (293148718712).

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

201200212000 is an equidigital number, since it uses as much as digits as its factorization.

201200212000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50300078 (or 50300060 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 201200212000 its reverse (212002102), we get a palindrome (201412214102).

The spelling of 201200212000 in words is "two hundred one billion, two hundred 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 50300053 100600106 201200212 251500265 402400424 503000530 804800848 1006001060 1257501325 1609601696 2012002120 2515002650 4024004240 5030005300 6287506625 8048008480 10060010600 12575013250 20120021200 25150026500 40240042400 50300053000 100600106000 201200212000