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212000200100 = 225213163077077
BaseRepresentation
bin1100010101110000110…
…0100101010110100100
3202021012122210000022222
43011130030211112210
511433134022400400
6241220324011512
721213363653063
oct3053414452644
9667178700288
10212000200100
11819aa64a147
1235106530b98
1316cb7523ab0
14a391b521da
1557abc34185
hex315c3255a4

212000200100 has 36 divisors (see below), whose sum is σ = 495428162964. Its totient is φ = 78276996480.

The previous prime is 212000200091. The next prime is 212000200109. The reversal of 212000200100 is 1002000212.

It is an interprime number because it is at equal distance from previous prime (212000200091) and next prime (212000200109).

It can be written as a sum of positive squares in 6 ways, for example, as 2157416704 + 209842783396 = 46448^2 + 458086^2 .

It is not an unprimeable number, because it can be changed into a prime (212000200109) 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 11 ways as a sum of consecutive naturals, for example, 81537239 + ... + 81539838.

Almost surely, 2212000200100 is an apocalyptic number.

212000200100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212000200100 is an abundant number, since it is smaller than the sum of its proper divisors (283427962864).

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

212000200100 is a wasteful number, since it uses less digits than its factorization.

212000200100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163077104 (or 163077097 counting only the distinct ones).

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

Adding to 212000200100 its reverse (1002000212), we get a palindrome (213002200312).

The spelling of 212000200100 in words is "two hundred twelve billion, two hundred thousand, one hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 260 325 650 1300 163077077 326154154 652308308 815385385 1630770770 2120002001 3261541540 4076926925 4240004002 8153853850 8480008004 10600010005 16307707700 21200020010 42400040020 53000050025 106000100050 212000200100